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Finding the Third Proportional to 951,600 and 1,475,208

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Solution

The third proportional to 951,600 and 1,475,208 is: 2,286,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,600 : 1,475,208 = 1,475,208 : x
  2. Step 2: Convert to fraction form
    951,600/1,475,208 = 1,475,208/x
  3. Step 3: Cross multiply
    951,600x = 1,475,208 × 1,475,208
  4. Step 4: Simplify right side
    951,600x = 2,176,238,643,264
  5. Step 5: Solve for x
    x = 2,176,238,643,264/951,600
  6. Step 6: Final answer
    x = 2,286,925.85

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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.