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Finding the Third Proportional to 682,299,049.50 and 997,860,620.25

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Solution

The third proportional to 682,299,049.50 and 997,860,620.25 is: 1,459,368,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,299,049.50 : 997,860,620.25 = 997,860,620.25 : x
  2. Step 2: Convert to fraction form
    682,299,049.50/997,860,620.25 = 997,860,620.25/x
  3. Step 3: Cross multiply
    682,299,049.50x = 997,860,620.25 × 997,860,620.25
  4. Step 4: Simplify right side
    682,299,049.50x = 995,725,817,445,714,688
  5. Step 5: Solve for x
    x = 995,725,817,445,714,688/682,299,049.50
  6. Step 6: Final answer
    x = 1,459,368,612.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.