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Finding the Third Proportional to 1,784,877.75 and 2,719,153.13

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Solution

The third proportional to 1,784,877.75 and 2,719,153.13 is: 4,142,465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,877.75 : 2,719,153.13 = 2,719,153.13 : x
  2. Step 2: Convert to fraction form
    1,784,877.75/2,719,153.13 = 2,719,153.13/x
  3. Step 3: Cross multiply
    1,784,877.75x = 2,719,153.13 × 2,719,153.13
  4. Step 4: Simplify right side
    1,784,877.75x = 7,393,793,717,197.27
  5. Step 5: Solve for x
    x = 7,393,793,717,197.27/1,784,877.75
  6. Step 6: Final answer
    x = 4,142,465.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.