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Finding the Third Proportional to 1,770,414 and 3,881,272

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Solution

The third proportional to 1,770,414 and 3,881,272 is: 8,508,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770,414 : 3,881,272 = 3,881,272 : x
  2. Step 2: Convert to fraction form
    1,770,414/3,881,272 = 3,881,272/x
  3. Step 3: Cross multiply
    1,770,414x = 3,881,272 × 3,881,272
  4. Step 4: Simplify right side
    1,770,414x = 15,064,272,337,984
  5. Step 5: Solve for x
    x = 15,064,272,337,984/1,770,414
  6. Step 6: Final answer
    x = 8,508,898.11

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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.