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Finding the Third Proportional to 443,792.25 and 971,541

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Solution

The third proportional to 443,792.25 and 971,541 is: 2,126,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,792.25 : 971,541 = 971,541 : x
  2. Step 2: Convert to fraction form
    443,792.25/971,541 = 971,541/x
  3. Step 3: Cross multiply
    443,792.25x = 971,541 × 971,541
  4. Step 4: Simplify right side
    443,792.25x = 943,891,914,681
  5. Step 5: Solve for x
    x = 943,891,914,681/443,792.25
  6. Step 6: Final answer
    x = 2,126,877.87

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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.