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Finding the Third Proportional to 661,154 and 1,357,156

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Solution

The third proportional to 661,154 and 1,357,156 is: 2,785,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,154 : 1,357,156 = 1,357,156 : x
  2. Step 2: Convert to fraction form
    661,154/1,357,156 = 1,357,156/x
  3. Step 3: Cross multiply
    661,154x = 1,357,156 × 1,357,156
  4. Step 4: Simplify right side
    661,154x = 1,841,872,408,336
  5. Step 5: Solve for x
    x = 1,841,872,408,336/661,154
  6. Step 6: Final answer
    x = 2,785,844.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.