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Finding the Third Proportional to 454,548 and 988,677

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Solution

The third proportional to 454,548 and 988,677 is: 2,150,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,548 : 988,677 = 988,677 : x
  2. Step 2: Convert to fraction form
    454,548/988,677 = 988,677/x
  3. Step 3: Cross multiply
    454,548x = 988,677 × 988,677
  4. Step 4: Simplify right side
    454,548x = 977,482,210,329
  5. Step 5: Solve for x
    x = 977,482,210,329/454,548
  6. Step 6: Final answer
    x = 2,150,448.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.