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Finding the Third Proportional to 642,726 and 944,202

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Solution

The third proportional to 642,726 and 944,202 is: 1,387,087.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,726 : 944,202 = 944,202 : x
  2. Step 2: Convert to fraction form
    642,726/944,202 = 944,202/x
  3. Step 3: Cross multiply
    642,726x = 944,202 × 944,202
  4. Step 4: Simplify right side
    642,726x = 891,517,416,804
  5. Step 5: Solve for x
    x = 891,517,416,804/642,726
  6. Step 6: Final answer
    x = 1,387,087.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.