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Finding the Third Proportional to 915,856 and 1,346,361

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Solution

The third proportional to 915,856 and 1,346,361 is: 1,979,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,856 : 1,346,361 = 1,346,361 : x
  2. Step 2: Convert to fraction form
    915,856/1,346,361 = 1,346,361/x
  3. Step 3: Cross multiply
    915,856x = 1,346,361 × 1,346,361
  4. Step 4: Simplify right side
    915,856x = 1,812,687,942,321
  5. Step 5: Solve for x
    x = 1,812,687,942,321/915,856
  6. Step 6: Final answer
    x = 1,979,228.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.