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Finding the Third Proportional to 1,022,164.31 and 1,575,892.97

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Solution

The third proportional to 1,022,164.31 and 1,575,892.97 is: 2,429,588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,164.31 : 1,575,892.97 = 1,575,892.97 : x
  2. Step 2: Convert to fraction form
    1,022,164.31/1,575,892.97 = 1,575,892.97/x
  3. Step 3: Cross multiply
    1,022,164.31x = 1,575,892.97 × 1,575,892.97
  4. Step 4: Simplify right side
    1,022,164.31x = 2,483,438,648,955.69
  5. Step 5: Solve for x
    x = 2,483,438,648,955.69/1,022,164.31
  6. Step 6: Final answer
    x = 2,429,588.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.