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Finding the Third Proportional to 1,253,598 and 2,706,697.50

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Solution

The third proportional to 1,253,598 and 2,706,697.50 is: 5,844,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,598 : 2,706,697.50 = 2,706,697.50 : x
  2. Step 2: Convert to fraction form
    1,253,598/2,706,697.50 = 2,706,697.50/x
  3. Step 3: Cross multiply
    1,253,598x = 2,706,697.50 × 2,706,697.50
  4. Step 4: Simplify right side
    1,253,598x = 7,326,211,356,506.25
  5. Step 5: Solve for x
    x = 7,326,211,356,506.25/1,253,598
  6. Step 6: Final answer
    x = 5,844,147.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.