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Finding the Third Proportional to 656,785 and 1,418,346

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Solution

The third proportional to 656,785 and 1,418,346 is: 3,062,958.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,785 : 1,418,346 = 1,418,346 : x
  2. Step 2: Convert to fraction form
    656,785/1,418,346 = 1,418,346/x
  3. Step 3: Cross multiply
    656,785x = 1,418,346 × 1,418,346
  4. Step 4: Simplify right side
    656,785x = 2,011,705,375,716
  5. Step 5: Solve for x
    x = 2,011,705,375,716/656,785
  6. Step 6: Final answer
    x = 3,062,958.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.