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Finding the Third Proportional to 986,218.03 and 1,475,356.78

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Solution

The third proportional to 986,218.03 and 1,475,356.78 is: 2,207,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,218.03 : 1,475,356.78 = 1,475,356.78 : x
  2. Step 2: Convert to fraction form
    986,218.03/1,475,356.78 = 1,475,356.78/x
  3. Step 3: Cross multiply
    986,218.03x = 1,475,356.78 × 1,475,356.78
  4. Step 4: Simplify right side
    986,218.03x = 2,176,677,631,980.36
  5. Step 5: Solve for x
    x = 2,176,677,631,980.36/986,218.03
  6. Step 6: Final answer
    x = 2,207,095.76

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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.