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Finding the Third Proportional to 988,458.50 and 2,158,166.50

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Solution

The third proportional to 988,458.50 and 2,158,166.50 is: 4,712,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,458.50 : 2,158,166.50 = 2,158,166.50 : x
  2. Step 2: Convert to fraction form
    988,458.50/2,158,166.50 = 2,158,166.50/x
  3. Step 3: Cross multiply
    988,458.50x = 2,158,166.50 × 2,158,166.50
  4. Step 4: Simplify right side
    988,458.50x = 4,657,682,641,722.25
  5. Step 5: Solve for x
    x = 4,657,682,641,722.25/988,458.50
  6. Step 6: Final answer
    x = 4,712,066.96

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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.