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Finding the Third Proportional to 830,668 and 1,262,422

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Solution

The third proportional to 830,668 and 1,262,422 is: 1,918,587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,668 : 1,262,422 = 1,262,422 : x
  2. Step 2: Convert to fraction form
    830,668/1,262,422 = 1,262,422/x
  3. Step 3: Cross multiply
    830,668x = 1,262,422 × 1,262,422
  4. Step 4: Simplify right side
    830,668x = 1,593,709,306,084
  5. Step 5: Solve for x
    x = 1,593,709,306,084/830,668
  6. Step 6: Final answer
    x = 1,918,587.58

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.