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Finding the Third Proportional to 502,900 and 1,084,532

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Solution

The third proportional to 502,900 and 1,084,532 is: 2,338,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,900 : 1,084,532 = 1,084,532 : x
  2. Step 2: Convert to fraction form
    502,900/1,084,532 = 1,084,532/x
  3. Step 3: Cross multiply
    502,900x = 1,084,532 × 1,084,532
  4. Step 4: Simplify right side
    502,900x = 1,176,209,659,024
  5. Step 5: Solve for x
    x = 1,176,209,659,024/502,900
  6. Step 6: Final answer
    x = 2,338,853.97

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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.