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Finding the Third Proportional to 431,890 and 1,008,952

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Solution

The third proportional to 431,890 and 1,008,952 is: 2,357,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,890 : 1,008,952 = 1,008,952 : x
  2. Step 2: Convert to fraction form
    431,890/1,008,952 = 1,008,952/x
  3. Step 3: Cross multiply
    431,890x = 1,008,952 × 1,008,952
  4. Step 4: Simplify right side
    431,890x = 1,017,984,138,304
  5. Step 5: Solve for x
    x = 1,017,984,138,304/431,890
  6. Step 6: Final answer
    x = 2,357,044.94

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.