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Finding the Third Proportional to 986,433 and 1,486,165.50

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Solution

The third proportional to 986,433 and 1,486,165.50 is: 2,239,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,433 : 1,486,165.50 = 1,486,165.50 : x
  2. Step 2: Convert to fraction form
    986,433/1,486,165.50 = 1,486,165.50/x
  3. Step 3: Cross multiply
    986,433x = 1,486,165.50 × 1,486,165.50
  4. Step 4: Simplify right side
    986,433x = 2,208,687,893,390.25
  5. Step 5: Solve for x
    x = 2,208,687,893,390.25/986,433
  6. Step 6: Final answer
    x = 2,239,065.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.