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Finding the Third Proportional to 594,720.75 and 1,272,385.50

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Solution

The third proportional to 594,720.75 and 1,272,385.50 is: 2,722,226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,720.75 : 1,272,385.50 = 1,272,385.50 : x
  2. Step 2: Convert to fraction form
    594,720.75/1,272,385.50 = 1,272,385.50/x
  3. Step 3: Cross multiply
    594,720.75x = 1,272,385.50 × 1,272,385.50
  4. Step 4: Simplify right side
    594,720.75x = 1,618,964,860,610.25
  5. Step 5: Solve for x
    x = 1,618,964,860,610.25/594,720.75
  6. Step 6: Final answer
    x = 2,722,226.96

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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.