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Finding the Third Proportional to 1,220,516.86 and 2,658,013.73

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Solution

The third proportional to 1,220,516.86 and 2,658,013.73 is: 5,788,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,516.86 : 2,658,013.73 = 2,658,013.73 : x
  2. Step 2: Convert to fraction form
    1,220,516.86/2,658,013.73 = 2,658,013.73/x
  3. Step 3: Cross multiply
    1,220,516.86x = 2,658,013.73 × 2,658,013.73
  4. Step 4: Simplify right side
    1,220,516.86x = 7,065,037,012,126.13
  5. Step 5: Solve for x
    x = 7,065,037,012,126.13/1,220,516.86
  6. Step 6: Final answer
    x = 5,788,561.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.