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Finding the Third Proportional to 406,948 and 883,952

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Solution

The third proportional to 406,948 and 883,952 is: 1,920,076.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,948 : 883,952 = 883,952 : x
  2. Step 2: Convert to fraction form
    406,948/883,952 = 883,952/x
  3. Step 3: Cross multiply
    406,948x = 883,952 × 883,952
  4. Step 4: Simplify right side
    406,948x = 781,371,138,304
  5. Step 5: Solve for x
    x = 781,371,138,304/406,948
  6. Step 6: Final answer
    x = 1,920,076.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.