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Finding the Third Proportional to 502,246 and 1,185,397

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Solution

The third proportional to 502,246 and 1,185,397 is: 2,797,764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,246 : 1,185,397 = 1,185,397 : x
  2. Step 2: Convert to fraction form
    502,246/1,185,397 = 1,185,397/x
  3. Step 3: Cross multiply
    502,246x = 1,185,397 × 1,185,397
  4. Step 4: Simplify right side
    502,246x = 1,405,166,047,609
  5. Step 5: Solve for x
    x = 1,405,166,047,609/502,246
  6. Step 6: Final answer
    x = 2,797,764.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.