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Finding the Third Proportional to 727,526 and 1,587,208

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Solution

The third proportional to 727,526 and 1,587,208 is: 3,462,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,526 : 1,587,208 = 1,587,208 : x
  2. Step 2: Convert to fraction form
    727,526/1,587,208 = 1,587,208/x
  3. Step 3: Cross multiply
    727,526x = 1,587,208 × 1,587,208
  4. Step 4: Simplify right side
    727,526x = 2,519,229,235,264
  5. Step 5: Solve for x
    x = 2,519,229,235,264/727,526
  6. Step 6: Final answer
    x = 3,462,734.30

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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.