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Finding the Third Proportional to 812,822 and 1,207,466

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Solution

The third proportional to 812,822 and 1,207,466 is: 1,793,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,822 : 1,207,466 = 1,207,466 : x
  2. Step 2: Convert to fraction form
    812,822/1,207,466 = 1,207,466/x
  3. Step 3: Cross multiply
    812,822x = 1,207,466 × 1,207,466
  4. Step 4: Simplify right side
    812,822x = 1,457,974,141,156
  5. Step 5: Solve for x
    x = 1,457,974,141,156/812,822
  6. Step 6: Final answer
    x = 1,793,718.85

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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.