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Finding the Third Proportional to 951,575 and 1,475,684

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Solution

The third proportional to 951,575 and 1,475,684 is: 2,288,462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,575 : 1,475,684 = 1,475,684 : x
  2. Step 2: Convert to fraction form
    951,575/1,475,684 = 1,475,684/x
  3. Step 3: Cross multiply
    951,575x = 1,475,684 × 1,475,684
  4. Step 4: Simplify right side
    951,575x = 2,177,643,267,856
  5. Step 5: Solve for x
    x = 2,177,643,267,856/951,575
  6. Step 6: Final answer
    x = 2,288,462.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.