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Finding the Third Proportional to 442,952.93 and 971,711.44

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Solution

The third proportional to 442,952.93 and 971,711.44 is: 2,131,655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,952.93 : 971,711.44 = 971,711.44 : x
  2. Step 2: Convert to fraction form
    442,952.93/971,711.44 = 971,711.44/x
  3. Step 3: Cross multiply
    442,952.93x = 971,711.44 × 971,711.44
  4. Step 4: Simplify right side
    442,952.93x = 944,223,117,768.32
  5. Step 5: Solve for x
    x = 944,223,117,768.32/442,952.93
  6. Step 6: Final answer
    x = 2,131,655.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.