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Finding the Third Proportional to 682,323,048 and 997,894,680

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Solution

The third proportional to 682,323,048 and 997,894,680 is: 1,459,416,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,323,048 : 997,894,680 = 997,894,680 : x
  2. Step 2: Convert to fraction form
    682,323,048/997,894,680 = 997,894,680/x
  3. Step 3: Cross multiply
    682,323,048x = 997,894,680 × 997,894,680
  4. Step 4: Simplify right side
    682,323,048x = 995,793,792,372,302,336
  5. Step 5: Solve for x
    x = 995,793,792,372,302,336/682,323,048
  6. Step 6: Final answer
    x = 1,459,416,907.13

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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.