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Finding the Third Proportional to 980,094.94 and 1,578,945.66

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Solution

The third proportional to 980,094.94 and 1,578,945.66 is: 2,543,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,094.94 : 1,578,945.66 = 1,578,945.66 : x
  2. Step 2: Convert to fraction form
    980,094.94/1,578,945.66 = 1,578,945.66/x
  3. Step 3: Cross multiply
    980,094.94x = 1,578,945.66 × 1,578,945.66
  4. Step 4: Simplify right side
    980,094.94x = 2,493,069,385,390.74
  5. Step 5: Solve for x
    x = 2,493,069,385,390.74/980,094.94
  6. Step 6: Final answer
    x = 2,543,701.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.