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Finding the Third Proportional to 463,654 and 977,814

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Solution

The third proportional to 463,654 and 977,814 is: 2,062,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,654 : 977,814 = 977,814 : x
  2. Step 2: Convert to fraction form
    463,654/977,814 = 977,814/x
  3. Step 3: Cross multiply
    463,654x = 977,814 × 977,814
  4. Step 4: Simplify right side
    463,654x = 956,120,218,596
  5. Step 5: Solve for x
    x = 956,120,218,596/463,654
  6. Step 6: Final answer
    x = 2,062,141.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.