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Finding the Third Proportional to 443,065 and 971,909

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Solution

The third proportional to 443,065 and 971,909 is: 2,131,983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,065 : 971,909 = 971,909 : x
  2. Step 2: Convert to fraction form
    443,065/971,909 = 971,909/x
  3. Step 3: Cross multiply
    443,065x = 971,909 × 971,909
  4. Step 4: Simplify right side
    443,065x = 944,607,104,281
  5. Step 5: Solve for x
    x = 944,607,104,281/443,065
  6. Step 6: Final answer
    x = 2,131,983.13

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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.