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Finding the Third Proportional to 540,362 and 847,629

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Solution

The third proportional to 540,362 and 847,629 is: 1,329,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,362 : 847,629 = 847,629 : x
  2. Step 2: Convert to fraction form
    540,362/847,629 = 847,629/x
  3. Step 3: Cross multiply
    540,362x = 847,629 × 847,629
  4. Step 4: Simplify right side
    540,362x = 718,474,921,641
  5. Step 5: Solve for x
    x = 718,474,921,641/540,362
  6. Step 6: Final answer
    x = 1,329,617.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.