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Finding the Third Proportional to 491,311.13 and 1,041,670.50

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Solution

The third proportional to 491,311.13 and 1,041,670.50 is: 2,208,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,311.13 : 1,041,670.50 = 1,041,670.50 : x
  2. Step 2: Convert to fraction form
    491,311.13/1,041,670.50 = 1,041,670.50/x
  3. Step 3: Cross multiply
    491,311.13x = 1,041,670.50 × 1,041,670.50
  4. Step 4: Simplify right side
    491,311.13x = 1,085,077,430,570.25
  5. Step 5: Solve for x
    x = 1,085,077,430,570.25/491,311.13
  6. Step 6: Final answer
    x = 2,208,534.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.