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Finding the Third Proportional to 767,342 and 1,201,107

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Solution

The third proportional to 767,342 and 1,201,107 is: 1,880,071.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,342 : 1,201,107 = 1,201,107 : x
  2. Step 2: Convert to fraction form
    767,342/1,201,107 = 1,201,107/x
  3. Step 3: Cross multiply
    767,342x = 1,201,107 × 1,201,107
  4. Step 4: Simplify right side
    767,342x = 1,442,658,025,449
  5. Step 5: Solve for x
    x = 1,442,658,025,449/767,342
  6. Step 6: Final answer
    x = 1,880,071.76

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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.