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Finding the Third Proportional to 813,942 and 1,196,559

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Solution

The third proportional to 813,942 and 1,196,559 is: 1,759,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,942 : 1,196,559 = 1,196,559 : x
  2. Step 2: Convert to fraction form
    813,942/1,196,559 = 1,196,559/x
  3. Step 3: Cross multiply
    813,942x = 1,196,559 × 1,196,559
  4. Step 4: Simplify right side
    813,942x = 1,431,753,440,481
  5. Step 5: Solve for x
    x = 1,431,753,440,481/813,942
  6. Step 6: Final answer
    x = 1,759,036.20

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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.