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Finding the Third Proportional to 1,282,987.90 and 1,793,692.58

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Solution

The third proportional to 1,282,987.90 and 1,793,692.58 is: 2,507,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,987.90 : 1,793,692.58 = 1,793,692.58 : x
  2. Step 2: Convert to fraction form
    1,282,987.90/1,793,692.58 = 1,793,692.58/x
  3. Step 3: Cross multiply
    1,282,987.90x = 1,793,692.58 × 1,793,692.58
  4. Step 4: Simplify right side
    1,282,987.90x = 3,217,333,078,833.75
  5. Step 5: Solve for x
    x = 3,217,333,078,833.75/1,282,987.90
  6. Step 6: Final answer
    x = 2,507,687.78

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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.