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Finding the Third Proportional to 780,540 and 1,702,524

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Solution

The third proportional to 780,540 and 1,702,524 is: 3,713,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,540 : 1,702,524 = 1,702,524 : x
  2. Step 2: Convert to fraction form
    780,540/1,702,524 = 1,702,524/x
  3. Step 3: Cross multiply
    780,540x = 1,702,524 × 1,702,524
  4. Step 4: Simplify right side
    780,540x = 2,898,587,970,576
  5. Step 5: Solve for x
    x = 2,898,587,970,576/780,540
  6. Step 6: Final answer
    x = 3,713,567.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.