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Finding the Third Proportional to 571,854 and 841,140

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Solution

The third proportional to 571,854 and 841,140 is: 1,237,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,854 : 841,140 = 841,140 : x
  2. Step 2: Convert to fraction form
    571,854/841,140 = 841,140/x
  3. Step 3: Cross multiply
    571,854x = 841,140 × 841,140
  4. Step 4: Simplify right side
    571,854x = 707,516,499,600
  5. Step 5: Solve for x
    x = 707,516,499,600/571,854
  6. Step 6: Final answer
    x = 1,237,232.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.