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Finding the Third Proportional to 537,739 and 825,409

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Solution

The third proportional to 537,739 and 825,409 is: 1,266,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,739 : 825,409 = 825,409 : x
  2. Step 2: Convert to fraction form
    537,739/825,409 = 825,409/x
  3. Step 3: Cross multiply
    537,739x = 825,409 × 825,409
  4. Step 4: Simplify right side
    537,739x = 681,300,017,281
  5. Step 5: Solve for x
    x = 681,300,017,281/537,739
  6. Step 6: Final answer
    x = 1,266,971.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.