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Finding the Third Proportional to 1,077,742.50 and 1,498,515

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Solution

The third proportional to 1,077,742.50 and 1,498,515 is: 2,083,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,742.50 : 1,498,515 = 1,498,515 : x
  2. Step 2: Convert to fraction form
    1,077,742.50/1,498,515 = 1,498,515/x
  3. Step 3: Cross multiply
    1,077,742.50x = 1,498,515 × 1,498,515
  4. Step 4: Simplify right side
    1,077,742.50x = 2,245,547,205,225
  5. Step 5: Solve for x
    x = 2,245,547,205,225/1,077,742.50
  6. Step 6: Final answer
    x = 2,083,565.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.