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Finding the Third Proportional to 1,866,024 and 3,897,712

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Solution

The third proportional to 1,866,024 and 3,897,712 is: 8,141,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,024 : 3,897,712 = 3,897,712 : x
  2. Step 2: Convert to fraction form
    1,866,024/3,897,712 = 3,897,712/x
  3. Step 3: Cross multiply
    1,866,024x = 3,897,712 × 3,897,712
  4. Step 4: Simplify right side
    1,866,024x = 15,192,158,834,944
  5. Step 5: Solve for x
    x = 15,192,158,834,944/1,866,024
  6. Step 6: Final answer
    x = 8,141,459.51

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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.