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Finding the Third Proportional to 986,948 and 2,120,752.50

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Solution

The third proportional to 986,948 and 2,120,752.50 is: 4,557,070.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,948 : 2,120,752.50 = 2,120,752.50 : x
  2. Step 2: Convert to fraction form
    986,948/2,120,752.50 = 2,120,752.50/x
  3. Step 3: Cross multiply
    986,948x = 2,120,752.50 × 2,120,752.50
  4. Step 4: Simplify right side
    986,948x = 4,497,591,166,256.25
  5. Step 5: Solve for x
    x = 4,497,591,166,256.25/986,948
  6. Step 6: Final answer
    x = 4,557,070.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.