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Finding the Third Proportional to 948,438 and 1,686,357

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Solution

The third proportional to 948,438 and 1,686,357 is: 2,998,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,438 : 1,686,357 = 1,686,357 : x
  2. Step 2: Convert to fraction form
    948,438/1,686,357 = 1,686,357/x
  3. Step 3: Cross multiply
    948,438x = 1,686,357 × 1,686,357
  4. Step 4: Simplify right side
    948,438x = 2,843,799,931,449
  5. Step 5: Solve for x
    x = 2,843,799,931,449/948,438
  6. Step 6: Final answer
    x = 2,998,403.62

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.