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Finding the Third Proportional to 1,035,489 and 1,569,272

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Solution

The third proportional to 1,035,489 and 1,569,272 is: 2,378,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,489 : 1,569,272 = 1,569,272 : x
  2. Step 2: Convert to fraction form
    1,035,489/1,569,272 = 1,569,272/x
  3. Step 3: Cross multiply
    1,035,489x = 1,569,272 × 1,569,272
  4. Step 4: Simplify right side
    1,035,489x = 2,462,614,609,984
  5. Step 5: Solve for x
    x = 2,462,614,609,984/1,035,489
  6. Step 6: Final answer
    x = 2,378,214.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.