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Finding the Third Proportional to 765,486 and 1,126,082

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Solution

The third proportional to 765,486 and 1,126,082 is: 1,656,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,486 : 1,126,082 = 1,126,082 : x
  2. Step 2: Convert to fraction form
    765,486/1,126,082 = 1,126,082/x
  3. Step 3: Cross multiply
    765,486x = 1,126,082 × 1,126,082
  4. Step 4: Simplify right side
    765,486x = 1,268,060,670,724
  5. Step 5: Solve for x
    x = 1,268,060,670,724/765,486
  6. Step 6: Final answer
    x = 1,656,543.26

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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.