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Finding the Third Proportional to 1,539,319.50 and 2,414,722.50

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Solution

The third proportional to 1,539,319.50 and 2,414,722.50 is: 3,787,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539,319.50 : 2,414,722.50 = 2,414,722.50 : x
  2. Step 2: Convert to fraction form
    1,539,319.50/2,414,722.50 = 2,414,722.50/x
  3. Step 3: Cross multiply
    1,539,319.50x = 2,414,722.50 × 2,414,722.50
  4. Step 4: Simplify right side
    1,539,319.50x = 5,830,884,752,006.25
  5. Step 5: Solve for x
    x = 5,830,884,752,006.25/1,539,319.50
  6. Step 6: Final answer
    x = 3,787,962.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.