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Finding the Third Proportional to 1,246,140 and 1,782,002.25

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Solution

The third proportional to 1,246,140 and 1,782,002.25 is: 2,548,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246,140 : 1,782,002.25 = 1,782,002.25 : x
  2. Step 2: Convert to fraction form
    1,246,140/1,782,002.25 = 1,782,002.25/x
  3. Step 3: Cross multiply
    1,246,140x = 1,782,002.25 × 1,782,002.25
  4. Step 4: Simplify right side
    1,246,140x = 3,175,532,019,005.06
  5. Step 5: Solve for x
    x = 3,175,532,019,005.06/1,246,140
  6. Step 6: Final answer
    x = 2,548,294.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.