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Finding the Third Proportional to 557,464 and 841,416

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Solution

The third proportional to 557,464 and 841,416 is: 1,270,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,464 : 841,416 = 841,416 : x
  2. Step 2: Convert to fraction form
    557,464/841,416 = 841,416/x
  3. Step 3: Cross multiply
    557,464x = 841,416 × 841,416
  4. Step 4: Simplify right side
    557,464x = 707,980,885,056
  5. Step 5: Solve for x
    x = 707,980,885,056/557,464
  6. Step 6: Final answer
    x = 1,270,002.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.