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Finding the Third Proportional to 2,198,866.50 and 4,730,157

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Solution

The third proportional to 2,198,866.50 and 4,730,157 is: 10,175,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,866.50 : 4,730,157 = 4,730,157 : x
  2. Step 2: Convert to fraction form
    2,198,866.50/4,730,157 = 4,730,157/x
  3. Step 3: Cross multiply
    2,198,866.50x = 4,730,157 × 4,730,157
  4. Step 4: Simplify right side
    2,198,866.50x = 22,374,385,244,649
  5. Step 5: Solve for x
    x = 22,374,385,244,649/2,198,866.50
  6. Step 6: Final answer
    x = 10,175,417.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.