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Finding the Third Proportional to 442,948 and 944,952

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Solution

The third proportional to 442,948 and 944,952 is: 2,015,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,948 : 944,952 = 944,952 : x
  2. Step 2: Convert to fraction form
    442,948/944,952 = 944,952/x
  3. Step 3: Cross multiply
    442,948x = 944,952 × 944,952
  4. Step 4: Simplify right side
    442,948x = 892,934,282,304
  5. Step 5: Solve for x
    x = 892,934,282,304/442,948
  6. Step 6: Final answer
    x = 2,015,889.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.