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Finding the Third Proportional to 988,456.50 and 2,158,158.94

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Solution

The third proportional to 988,456.50 and 2,158,158.94 is: 4,712,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,456.50 : 2,158,158.94 = 2,158,158.94 : x
  2. Step 2: Convert to fraction form
    988,456.50/2,158,158.94 = 2,158,158.94/x
  3. Step 3: Cross multiply
    988,456.50x = 2,158,158.94 × 2,158,158.94
  4. Step 4: Simplify right side
    988,456.50x = 4,657,649,999,511.13
  5. Step 5: Solve for x
    x = 4,657,649,999,511.13/988,456.50
  6. Step 6: Final answer
    x = 4,712,043.47

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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.