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Finding the Third Proportional to 710,230 and 1,525,867

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Solution

The third proportional to 710,230 and 1,525,867 is: 3,278,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,230 : 1,525,867 = 1,525,867 : x
  2. Step 2: Convert to fraction form
    710,230/1,525,867 = 1,525,867/x
  3. Step 3: Cross multiply
    710,230x = 1,525,867 × 1,525,867
  4. Step 4: Simplify right side
    710,230x = 2,328,270,101,689
  5. Step 5: Solve for x
    x = 2,328,270,101,689/710,230
  6. Step 6: Final answer
    x = 3,278,191.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.