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Finding the Third Proportional to 557,454 and 841,406

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Solution

The third proportional to 557,454 and 841,406 is: 1,269,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,454 : 841,406 = 841,406 : x
  2. Step 2: Convert to fraction form
    557,454/841,406 = 841,406/x
  3. Step 3: Cross multiply
    557,454x = 841,406 × 841,406
  4. Step 4: Simplify right side
    557,454x = 707,964,056,836
  5. Step 5: Solve for x
    x = 707,964,056,836/557,454
  6. Step 6: Final answer
    x = 1,269,995.47

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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.