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Finding the Third Proportional to 779,292 and 1,171,224

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Solution

The third proportional to 779,292 and 1,171,224 is: 1,760,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,292 : 1,171,224 = 1,171,224 : x
  2. Step 2: Convert to fraction form
    779,292/1,171,224 = 1,171,224/x
  3. Step 3: Cross multiply
    779,292x = 1,171,224 × 1,171,224
  4. Step 4: Simplify right side
    779,292x = 1,371,765,658,176
  5. Step 5: Solve for x
    x = 1,371,765,658,176/779,292
  6. Step 6: Final answer
    x = 1,760,271.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.