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Finding the Third Proportional to 1,198,719 and 1,779,853.50

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Solution

The third proportional to 1,198,719 and 1,779,853.50 is: 2,642,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,719 : 1,779,853.50 = 1,779,853.50 : x
  2. Step 2: Convert to fraction form
    1,198,719/1,779,853.50 = 1,779,853.50/x
  3. Step 3: Cross multiply
    1,198,719x = 1,779,853.50 × 1,779,853.50
  4. Step 4: Simplify right side
    1,198,719x = 3,167,878,481,462.25
  5. Step 5: Solve for x
    x = 3,167,878,481,462.25/1,198,719
  6. Step 6: Final answer
    x = 2,642,719.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.