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Finding the Third Proportional to 758,035 and 1,658,500

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Solution

The third proportional to 758,035 and 1,658,500 is: 3,628,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,035 : 1,658,500 = 1,658,500 : x
  2. Step 2: Convert to fraction form
    758,035/1,658,500 = 1,658,500/x
  3. Step 3: Cross multiply
    758,035x = 1,658,500 × 1,658,500
  4. Step 4: Simplify right side
    758,035x = 2,750,622,250,000
  5. Step 5: Solve for x
    x = 2,750,622,250,000/758,035
  6. Step 6: Final answer
    x = 3,628,621.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.