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Finding the Third Proportional to 502,870 and 1,084,148

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Solution

The third proportional to 502,870 and 1,084,148 is: 2,337,337.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,870 : 1,084,148 = 1,084,148 : x
  2. Step 2: Convert to fraction form
    502,870/1,084,148 = 1,084,148/x
  3. Step 3: Cross multiply
    502,870x = 1,084,148 × 1,084,148
  4. Step 4: Simplify right side
    502,870x = 1,175,376,885,904
  5. Step 5: Solve for x
    x = 1,175,376,885,904/502,870
  6. Step 6: Final answer
    x = 2,337,337.45

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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.