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Finding the Third Proportional to 502,904 and 1,084,540

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Solution

The third proportional to 502,904 and 1,084,540 is: 2,338,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,904 : 1,084,540 = 1,084,540 : x
  2. Step 2: Convert to fraction form
    502,904/1,084,540 = 1,084,540/x
  3. Step 3: Cross multiply
    502,904x = 1,084,540 × 1,084,540
  4. Step 4: Simplify right side
    502,904x = 1,176,227,011,600
  5. Step 5: Solve for x
    x = 1,176,227,011,600/502,904
  6. Step 6: Final answer
    x = 2,338,869.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.