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Finding the Third Proportional to 443,772 and 971,966.25

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Solution

The third proportional to 443,772 and 971,966.25 is: 2,128,837.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,772 : 971,966.25 = 971,966.25 : x
  2. Step 2: Convert to fraction form
    443,772/971,966.25 = 971,966.25/x
  3. Step 3: Cross multiply
    443,772x = 971,966.25 × 971,966.25
  4. Step 4: Simplify right side
    443,772x = 944,718,391,139.06
  5. Step 5: Solve for x
    x = 944,718,391,139.06/443,772
  6. Step 6: Final answer
    x = 2,128,837.31

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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.