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Finding the Third Proportional to 982,095 and 1,532,833.50

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Solution

The third proportional to 982,095 and 1,532,833.50 is: 2,392,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,095 : 1,532,833.50 = 1,532,833.50 : x
  2. Step 2: Convert to fraction form
    982,095/1,532,833.50 = 1,532,833.50/x
  3. Step 3: Cross multiply
    982,095x = 1,532,833.50 × 1,532,833.50
  4. Step 4: Simplify right side
    982,095x = 2,349,578,538,722.25
  5. Step 5: Solve for x
    x = 2,349,578,538,722.25/982,095
  6. Step 6: Final answer
    x = 2,392,414.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.