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Finding the Third Proportional to 1,815,765 and 2,544,742.50

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Solution

The third proportional to 1,815,765 and 2,544,742.50 is: 3,566,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815,765 : 2,544,742.50 = 2,544,742.50 : x
  2. Step 2: Convert to fraction form
    1,815,765/2,544,742.50 = 2,544,742.50/x
  3. Step 3: Cross multiply
    1,815,765x = 2,544,742.50 × 2,544,742.50
  4. Step 4: Simplify right side
    1,815,765x = 6,475,714,391,306.25
  5. Step 5: Solve for x
    x = 6,475,714,391,306.25/1,815,765
  6. Step 6: Final answer
    x = 3,566,383.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.