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Finding the Third Proportional to 1,688,123 and 3,904,650

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Solution

The third proportional to 1,688,123 and 3,904,650 is: 9,031,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,123 : 3,904,650 = 3,904,650 : x
  2. Step 2: Convert to fraction form
    1,688,123/3,904,650 = 3,904,650/x
  3. Step 3: Cross multiply
    1,688,123x = 3,904,650 × 3,904,650
  4. Step 4: Simplify right side
    1,688,123x = 15,246,291,622,500
  5. Step 5: Solve for x
    x = 15,246,291,622,500/1,688,123
  6. Step 6: Final answer
    x = 9,031,505.18

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.