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Finding the Third Proportional to 634,404 and 934,082

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Solution

The third proportional to 634,404 and 934,082 is: 1,375,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,404 : 934,082 = 934,082 : x
  2. Step 2: Convert to fraction form
    634,404/934,082 = 934,082/x
  3. Step 3: Cross multiply
    634,404x = 934,082 × 934,082
  4. Step 4: Simplify right side
    634,404x = 872,509,182,724
  5. Step 5: Solve for x
    x = 872,509,182,724/634,404
  6. Step 6: Final answer
    x = 1,375,321.06

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