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Finding the Third Proportional to 1,866,025 and 3,897,714

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Solution

The third proportional to 1,866,025 and 3,897,714 is: 8,141,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,025 : 3,897,714 = 3,897,714 : x
  2. Step 2: Convert to fraction form
    1,866,025/3,897,714 = 3,897,714/x
  3. Step 3: Cross multiply
    1,866,025x = 3,897,714 × 3,897,714
  4. Step 4: Simplify right side
    1,866,025x = 15,192,174,425,796
  5. Step 5: Solve for x
    x = 15,192,174,425,796/1,866,025
  6. Step 6: Final answer
    x = 8,141,463.50

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.