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Finding the Third Proportional to 461,160 and 996,048

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Solution

The third proportional to 461,160 and 996,048 is: 2,151,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,160 : 996,048 = 996,048 : x
  2. Step 2: Convert to fraction form
    461,160/996,048 = 996,048/x
  3. Step 3: Cross multiply
    461,160x = 996,048 × 996,048
  4. Step 4: Simplify right side
    461,160x = 992,111,618,304
  5. Step 5: Solve for x
    x = 992,111,618,304/461,160
  6. Step 6: Final answer
    x = 2,151,339.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.