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Finding the Third Proportional to 767,274 and 1,161,572

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Solution

The third proportional to 767,274 and 1,161,572 is: 1,758,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,274 : 1,161,572 = 1,161,572 : x
  2. Step 2: Convert to fraction form
    767,274/1,161,572 = 1,161,572/x
  3. Step 3: Cross multiply
    767,274x = 1,161,572 × 1,161,572
  4. Step 4: Simplify right side
    767,274x = 1,349,249,511,184
  5. Step 5: Solve for x
    x = 1,349,249,511,184/767,274
  6. Step 6: Final answer
    x = 1,758,497.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.