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Finding the Third Proportional to 511,031.53 and 1,106,713.13

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Solution

The third proportional to 511,031.53 and 1,106,713.13 is: 2,396,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,031.53 : 1,106,713.13 = 1,106,713.13 : x
  2. Step 2: Convert to fraction form
    511,031.53/1,106,713.13 = 1,106,713.13/x
  3. Step 3: Cross multiply
    511,031.53x = 1,106,713.13 × 1,106,713.13
  4. Step 4: Simplify right side
    511,031.53x = 1,224,813,941,047.27
  5. Step 5: Solve for x
    x = 1,224,813,941,047.27/511,031.53
  6. Step 6: Final answer
    x = 2,396,748.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.