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Finding the Third Proportional to 642,084 and 953,883

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Solution

The third proportional to 642,084 and 953,883 is: 1,417,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,084 : 953,883 = 953,883 : x
  2. Step 2: Convert to fraction form
    642,084/953,883 = 953,883/x
  3. Step 3: Cross multiply
    642,084x = 953,883 × 953,883
  4. Step 4: Simplify right side
    642,084x = 909,892,777,689
  5. Step 5: Solve for x
    x = 909,892,777,689/642,084
  6. Step 6: Final answer
    x = 1,417,093.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.