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Finding the Third Proportional to 772,002.38 and 1,676,901.75

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Solution

The third proportional to 772,002.38 and 1,676,901.75 is: 3,642,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,002.38 : 1,676,901.75 = 1,676,901.75 : x
  2. Step 2: Convert to fraction form
    772,002.38/1,676,901.75 = 1,676,901.75/x
  3. Step 3: Cross multiply
    772,002.38x = 1,676,901.75 × 1,676,901.75
  4. Step 4: Simplify right side
    772,002.38x = 2,811,999,479,153.06
  5. Step 5: Solve for x
    x = 2,811,999,479,153.06/772,002.38
  6. Step 6: Final answer
    x = 3,642,475.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.