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Finding the Third Proportional to 454,587 and 956,154

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Solution

The third proportional to 454,587 and 956,154 is: 2,011,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,587 : 956,154 = 956,154 : x
  2. Step 2: Convert to fraction form
    454,587/956,154 = 956,154/x
  3. Step 3: Cross multiply
    454,587x = 956,154 × 956,154
  4. Step 4: Simplify right side
    454,587x = 914,230,471,716
  5. Step 5: Solve for x
    x = 914,230,471,716/454,587
  6. Step 6: Final answer
    x = 2,011,123.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.