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Finding the Third Proportional to 611,560.13 and 1,243,419.19

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Solution

The third proportional to 611,560.13 and 1,243,419.19 is: 2,528,110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,560.13 : 1,243,419.19 = 1,243,419.19 : x
  2. Step 2: Convert to fraction form
    611,560.13/1,243,419.19 = 1,243,419.19/x
  3. Step 3: Cross multiply
    611,560.13x = 1,243,419.19 × 1,243,419.19
  4. Step 4: Simplify right side
    611,560.13x = 1,546,091,275,843.16
  5. Step 5: Solve for x
    x = 1,546,091,275,843.16/611,560.13
  6. Step 6: Final answer
    x = 2,528,110.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.