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Finding the Third Proportional to 767,283 and 1,161,586

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Solution

The third proportional to 767,283 and 1,161,586 is: 1,758,519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,283 : 1,161,586 = 1,161,586 : x
  2. Step 2: Convert to fraction form
    767,283/1,161,586 = 1,161,586/x
  3. Step 3: Cross multiply
    767,283x = 1,161,586 × 1,161,586
  4. Step 4: Simplify right side
    767,283x = 1,349,282,035,396
  5. Step 5: Solve for x
    x = 1,349,282,035,396/767,283
  6. Step 6: Final answer
    x = 1,758,519.39

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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.