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Finding the Third Proportional to 461,888 and 992,532

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Solution

The third proportional to 461,888 and 992,532 is: 2,132,810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,888 : 992,532 = 992,532 : x
  2. Step 2: Convert to fraction form
    461,888/992,532 = 992,532/x
  3. Step 3: Cross multiply
    461,888x = 992,532 × 992,532
  4. Step 4: Simplify right side
    461,888x = 985,119,771,024
  5. Step 5: Solve for x
    x = 985,119,771,024/461,888
  6. Step 6: Final answer
    x = 2,132,810.92

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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.