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Finding the Third Proportional to 571,913 and 1,129,471

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Solution

The third proportional to 571,913 and 1,129,471 is: 2,230,592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,913 : 1,129,471 = 1,129,471 : x
  2. Step 2: Convert to fraction form
    571,913/1,129,471 = 1,129,471/x
  3. Step 3: Cross multiply
    571,913x = 1,129,471 × 1,129,471
  4. Step 4: Simplify right side
    571,913x = 1,275,704,739,841
  5. Step 5: Solve for x
    x = 1,275,704,739,841/571,913
  6. Step 6: Final answer
    x = 2,230,592.31

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.