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Finding the Third Proportional to 767,233 and 1,161,511

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Solution

The third proportional to 767,233 and 1,161,511 is: 1,758,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,233 : 1,161,511 = 1,161,511 : x
  2. Step 2: Convert to fraction form
    767,233/1,161,511 = 1,161,511/x
  3. Step 3: Cross multiply
    767,233x = 1,161,511 × 1,161,511
  4. Step 4: Simplify right side
    767,233x = 1,349,107,803,121
  5. Step 5: Solve for x
    x = 1,349,107,803,121/767,233
  6. Step 6: Final answer
    x = 1,758,406.90

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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.