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Finding the Third Proportional to 767,358 and 1,201,131

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Solution

The third proportional to 767,358 and 1,201,131 is: 1,880,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,358 : 1,201,131 = 1,201,131 : x
  2. Step 2: Convert to fraction form
    767,358/1,201,131 = 1,201,131/x
  3. Step 3: Cross multiply
    767,358x = 1,201,131 × 1,201,131
  4. Step 4: Simplify right side
    767,358x = 1,442,715,679,161
  5. Step 5: Solve for x
    x = 1,442,715,679,161/767,358
  6. Step 6: Final answer
    x = 1,880,107.69

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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.