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Finding the Third Proportional to 571,813 and 841,087

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Solution

The third proportional to 571,813 and 841,087 is: 1,237,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,813 : 841,087 = 841,087 : x
  2. Step 2: Convert to fraction form
    571,813/841,087 = 841,087/x
  3. Step 3: Cross multiply
    571,813x = 841,087 × 841,087
  4. Step 4: Simplify right side
    571,813x = 707,427,341,569
  5. Step 5: Solve for x
    x = 707,427,341,569/571,813
  6. Step 6: Final answer
    x = 1,237,165.54

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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.