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Finding the Third Proportional to 713,161 and 1,486,082

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Solution

The third proportional to 713,161 and 1,486,082 is: 3,096,691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,161 : 1,486,082 = 1,486,082 : x
  2. Step 2: Convert to fraction form
    713,161/1,486,082 = 1,486,082/x
  3. Step 3: Cross multiply
    713,161x = 1,486,082 × 1,486,082
  4. Step 4: Simplify right side
    713,161x = 2,208,439,710,724
  5. Step 5: Solve for x
    x = 2,208,439,710,724/713,161
  6. Step 6: Final answer
    x = 3,096,691.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.