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Finding the Third Proportional to 1,126,504.50 and 1,745,416.31

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Solution

The third proportional to 1,126,504.50 and 1,745,416.31 is: 2,704,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126,504.50 : 1,745,416.31 = 1,745,416.31 : x
  2. Step 2: Convert to fraction form
    1,126,504.50/1,745,416.31 = 1,745,416.31/x
  3. Step 3: Cross multiply
    1,126,504.50x = 1,745,416.31 × 1,745,416.31
  4. Step 4: Simplify right side
    1,126,504.50x = 3,046,478,103,941.10
  5. Step 5: Solve for x
    x = 3,046,478,103,941.10/1,126,504.50
  6. Step 6: Final answer
    x = 2,704,363.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.