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Finding the Third Proportional to 442,940.06 and 971,681.06

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Solution

The third proportional to 442,940.06 and 971,681.06 is: 2,131,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,940.06 : 971,681.06 = 971,681.06 : x
  2. Step 2: Convert to fraction form
    442,940.06/971,681.06 = 971,681.06/x
  3. Step 3: Cross multiply
    442,940.06x = 971,681.06 × 971,681.06
  4. Step 4: Simplify right side
    442,940.06x = 944,164,087,221.13
  5. Step 5: Solve for x
    x = 944,164,087,221.13/442,940.06
  6. Step 6: Final answer
    x = 2,131,584.31

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Why These Related Problems?

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