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Finding the Third Proportional to 1,140,230.04 and 1,535,812.21

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Solution

The third proportional to 1,140,230.04 and 1,535,812.21 is: 2,068,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,230.04 : 1,535,812.21 = 1,535,812.21 : x
  2. Step 2: Convert to fraction form
    1,140,230.04/1,535,812.21 = 1,535,812.21/x
  3. Step 3: Cross multiply
    1,140,230.04x = 1,535,812.21 × 1,535,812.21
  4. Step 4: Simplify right side
    1,140,230.04x = 2,358,719,135,266.05
  5. Step 5: Solve for x
    x = 2,358,719,135,266.05/1,140,230.04
  6. Step 6: Final answer
    x = 2,068,634.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.