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Finding the Third Proportional to 817,128 and 1,350,432

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Solution

The third proportional to 817,128 and 1,350,432 is: 2,231,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,128 : 1,350,432 = 1,350,432 : x
  2. Step 2: Convert to fraction form
    817,128/1,350,432 = 1,350,432/x
  3. Step 3: Cross multiply
    817,128x = 1,350,432 × 1,350,432
  4. Step 4: Simplify right side
    817,128x = 1,823,666,586,624
  5. Step 5: Solve for x
    x = 1,823,666,586,624/817,128
  6. Step 6: Final answer
    x = 2,231,800.39

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.