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Finding the Third Proportional to 813,656 and 1,701,670

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Solution

The third proportional to 813,656 and 1,701,670 is: 3,558,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,656 : 1,701,670 = 1,701,670 : x
  2. Step 2: Convert to fraction form
    813,656/1,701,670 = 1,701,670/x
  3. Step 3: Cross multiply
    813,656x = 1,701,670 × 1,701,670
  4. Step 4: Simplify right side
    813,656x = 2,895,680,788,900
  5. Step 5: Solve for x
    x = 2,895,680,788,900/813,656
  6. Step 6: Final answer
    x = 3,558,851.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.