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Finding the Third Proportional to 722,565 and 1,488,865.50

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Solution

The third proportional to 722,565 and 1,488,865.50 is: 3,067,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,565 : 1,488,865.50 = 1,488,865.50 : x
  2. Step 2: Convert to fraction form
    722,565/1,488,865.50 = 1,488,865.50/x
  3. Step 3: Cross multiply
    722,565x = 1,488,865.50 × 1,488,865.50
  4. Step 4: Simplify right side
    722,565x = 2,216,720,477,090.25
  5. Step 5: Solve for x
    x = 2,216,720,477,090.25/722,565
  6. Step 6: Final answer
    x = 3,067,849.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.