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Finding the Third Proportional to 1,196,947 and 2,559,781.88

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Solution

The third proportional to 1,196,947 and 2,559,781.88 is: 5,474,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,947 : 2,559,781.88 = 2,559,781.88 : x
  2. Step 2: Convert to fraction form
    1,196,947/2,559,781.88 = 2,559,781.88/x
  3. Step 3: Cross multiply
    1,196,947x = 2,559,781.88 × 2,559,781.88
  4. Step 4: Simplify right side
    1,196,947x = 6,552,483,247,578.52
  5. Step 5: Solve for x
    x = 6,552,483,247,578.52/1,196,947
  6. Step 6: Final answer
    x = 5,474,330.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.