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Finding the Third Proportional to 767,754 and 1,652,139

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Solution

The third proportional to 767,754 and 1,652,139 is: 3,555,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,754 : 1,652,139 = 1,652,139 : x
  2. Step 2: Convert to fraction form
    767,754/1,652,139 = 1,652,139/x
  3. Step 3: Cross multiply
    767,754x = 1,652,139 × 1,652,139
  4. Step 4: Simplify right side
    767,754x = 2,729,563,275,321
  5. Step 5: Solve for x
    x = 2,729,563,275,321/767,754
  6. Step 6: Final answer
    x = 3,555,257.64

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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.