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Finding the Third Proportional to 1,198,950 and 2,508,742.50

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Solution

The third proportional to 1,198,950 and 2,508,742.50 is: 5,249,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,950 : 2,508,742.50 = 2,508,742.50 : x
  2. Step 2: Convert to fraction form
    1,198,950/2,508,742.50 = 2,508,742.50/x
  3. Step 3: Cross multiply
    1,198,950x = 2,508,742.50 × 2,508,742.50
  4. Step 4: Simplify right side
    1,198,950x = 6,293,788,931,306.25
  5. Step 5: Solve for x
    x = 6,293,788,931,306.25/1,198,950
  6. Step 6: Final answer
    x = 5,249,417.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.