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Finding the Third Proportional to 461,894 and 992,548

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Solution

The third proportional to 461,894 and 992,548 is: 2,132,851.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,894 : 992,548 = 992,548 : x
  2. Step 2: Convert to fraction form
    461,894/992,548 = 992,548/x
  3. Step 3: Cross multiply
    461,894x = 992,548 × 992,548
  4. Step 4: Simplify right side
    461,894x = 985,151,532,304
  5. Step 5: Solve for x
    x = 985,151,532,304/461,894
  6. Step 6: Final answer
    x = 2,132,851.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.