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Finding the Third Proportional to 986,612.25 and 1,475,953.50

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Solution

The third proportional to 986,612.25 and 1,475,953.50 is: 2,207,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,612.25 : 1,475,953.50 = 1,475,953.50 : x
  2. Step 2: Convert to fraction form
    986,612.25/1,475,953.50 = 1,475,953.50/x
  3. Step 3: Cross multiply
    986,612.25x = 1,475,953.50 × 1,475,953.50
  4. Step 4: Simplify right side
    986,612.25x = 2,178,438,734,162.25
  5. Step 5: Solve for x
    x = 2,178,438,734,162.25/986,612.25
  6. Step 6: Final answer
    x = 2,207,998.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.