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Finding the Third Proportional to 431,065 and 943,670

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Solution

The third proportional to 431,065 and 943,670 is: 2,065,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,065 : 943,670 = 943,670 : x
  2. Step 2: Convert to fraction form
    431,065/943,670 = 943,670/x
  3. Step 3: Cross multiply
    431,065x = 943,670 × 943,670
  4. Step 4: Simplify right side
    431,065x = 890,513,068,900
  5. Step 5: Solve for x
    x = 890,513,068,900/431,065
  6. Step 6: Final answer
    x = 2,065,844.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.