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Finding the Third Proportional to 1,282,394.53 and 2,001,230.30

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Solution

The third proportional to 1,282,394.53 and 2,001,230.30 is: 3,123,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,394.53 : 2,001,230.30 = 2,001,230.30 : x
  2. Step 2: Convert to fraction form
    1,282,394.53/2,001,230.30 = 2,001,230.30/x
  3. Step 3: Cross multiply
    1,282,394.53x = 2,001,230.30 × 2,001,230.30
  4. Step 4: Simplify right side
    1,282,394.53x = 4,004,922,701,130.40
  5. Step 5: Solve for x
    x = 4,004,922,701,130.40/1,282,394.53
  6. Step 6: Final answer
    x = 3,123,003.57

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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.