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Finding the Third Proportional to 557,676 and 841,746

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Solution

The third proportional to 557,676 and 841,746 is: 1,270,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,676 : 841,746 = 841,746 : x
  2. Step 2: Convert to fraction form
    557,676/841,746 = 841,746/x
  3. Step 3: Cross multiply
    557,676x = 841,746 × 841,746
  4. Step 4: Simplify right side
    557,676x = 708,536,328,516
  5. Step 5: Solve for x
    x = 708,536,328,516/557,676
  6. Step 6: Final answer
    x = 1,270,516.09

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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.