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Finding the Third Proportional to 557,446 and 841,394

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Solution

The third proportional to 557,446 and 841,394 is: 1,269,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,446 : 841,394 = 841,394 : x
  2. Step 2: Convert to fraction form
    557,446/841,394 = 841,394/x
  3. Step 3: Cross multiply
    557,446x = 841,394 × 841,394
  4. Step 4: Simplify right side
    557,446x = 707,943,863,236
  5. Step 5: Solve for x
    x = 707,943,863,236/557,446
  6. Step 6: Final answer
    x = 1,269,977.47

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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.