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Finding the Third Proportional to 1,196,987.20 and 1,905,564.02

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Solution

The third proportional to 1,196,987.20 and 1,905,564.02 is: 3,033,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,987.20 : 1,905,564.02 = 1,905,564.02 : x
  2. Step 2: Convert to fraction form
    1,196,987.20/1,905,564.02 = 1,905,564.02/x
  3. Step 3: Cross multiply
    1,196,987.20x = 1,905,564.02 × 1,905,564.02
  4. Step 4: Simplify right side
    1,196,987.20x = 3,631,174,247,419.31
  5. Step 5: Solve for x
    x = 3,631,174,247,419.31/1,196,987.20
  6. Step 6: Final answer
    x = 3,033,594.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.