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Finding the Third Proportional to 2,798,284.50 and 5,932,854

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Solution

The third proportional to 2,798,284.50 and 5,932,854 is: 12,578,691.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798,284.50 : 5,932,854 = 5,932,854 : x
  2. Step 2: Convert to fraction form
    2,798,284.50/5,932,854 = 5,932,854/x
  3. Step 3: Cross multiply
    2,798,284.50x = 5,932,854 × 5,932,854
  4. Step 4: Simplify right side
    2,798,284.50x = 35,198,756,585,316
  5. Step 5: Solve for x
    x = 35,198,756,585,316/2,798,284.50
  6. Step 6: Final answer
    x = 12,578,691.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.