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Finding the Third Proportional to 931,422.80 and 1,401,747.40

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Solution

The third proportional to 931,422.80 and 1,401,747.40 is: 2,109,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,422.80 : 1,401,747.40 = 1,401,747.40 : x
  2. Step 2: Convert to fraction form
    931,422.80/1,401,747.40 = 1,401,747.40/x
  3. Step 3: Cross multiply
    931,422.80x = 1,401,747.40 × 1,401,747.40
  4. Step 4: Simplify right side
    931,422.80x = 1,964,895,769,026.30
  5. Step 5: Solve for x
    x = 1,964,895,769,026.30/931,422.80
  6. Step 6: Final answer
    x = 2,109,563.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.