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Finding the Third Proportional to 830,940 and 1,356,716

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Solution

The third proportional to 830,940 and 1,356,716 is: 2,215,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,940 : 1,356,716 = 1,356,716 : x
  2. Step 2: Convert to fraction form
    830,940/1,356,716 = 1,356,716/x
  3. Step 3: Cross multiply
    830,940x = 1,356,716 × 1,356,716
  4. Step 4: Simplify right side
    830,940x = 1,840,678,304,656
  5. Step 5: Solve for x
    x = 1,840,678,304,656/830,940
  6. Step 6: Final answer
    x = 2,215,175.95

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.