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Finding the Third Proportional to 1,909,762.50 and 2,761,850

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Solution

The third proportional to 1,909,762.50 and 2,761,850 is: 3,994,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,762.50 : 2,761,850 = 2,761,850 : x
  2. Step 2: Convert to fraction form
    1,909,762.50/2,761,850 = 2,761,850/x
  3. Step 3: Cross multiply
    1,909,762.50x = 2,761,850 × 2,761,850
  4. Step 4: Simplify right side
    1,909,762.50x = 7,627,815,422,500
  5. Step 5: Solve for x
    x = 7,627,815,422,500/1,909,762.50
  6. Step 6: Final answer
    x = 3,994,117.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.