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Finding the Third Proportional to 3,870,457 and 5,413,479

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Solution

The third proportional to 3,870,457 and 5,413,479 is: 7,571,652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870,457 : 5,413,479 = 5,413,479 : x
  2. Step 2: Convert to fraction form
    3,870,457/5,413,479 = 5,413,479/x
  3. Step 3: Cross multiply
    3,870,457x = 5,413,479 × 5,413,479
  4. Step 4: Simplify right side
    3,870,457x = 29,305,754,883,441
  5. Step 5: Solve for x
    x = 29,305,754,883,441/3,870,457
  6. Step 6: Final answer
    x = 7,571,652.36

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.