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Finding the Third Proportional to 836,031 and 1,281,028.50

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Solution

The third proportional to 836,031 and 1,281,028.50 is: 1,962,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,031 : 1,281,028.50 = 1,281,028.50 : x
  2. Step 2: Convert to fraction form
    836,031/1,281,028.50 = 1,281,028.50/x
  3. Step 3: Cross multiply
    836,031x = 1,281,028.50 × 1,281,028.50
  4. Step 4: Simplify right side
    836,031x = 1,641,034,017,812.25
  5. Step 5: Solve for x
    x = 1,641,034,017,812.25/836,031
  6. Step 6: Final answer
    x = 1,962,886.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.