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Finding the Third Proportional to 767,142 and 1,203,416

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Solution

The third proportional to 767,142 and 1,203,416 is: 1,887,799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,142 : 1,203,416 = 1,203,416 : x
  2. Step 2: Convert to fraction form
    767,142/1,203,416 = 1,203,416/x
  3. Step 3: Cross multiply
    767,142x = 1,203,416 × 1,203,416
  4. Step 4: Simplify right side
    767,142x = 1,448,210,069,056
  5. Step 5: Solve for x
    x = 1,448,210,069,056/767,142
  6. Step 6: Final answer
    x = 1,887,799.22

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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.