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Finding the Third Proportional to 675,712 and 1,069,920

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Solution

The third proportional to 675,712 and 1,069,920 is: 1,694,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,712 : 1,069,920 = 1,069,920 : x
  2. Step 2: Convert to fraction form
    675,712/1,069,920 = 1,069,920/x
  3. Step 3: Cross multiply
    675,712x = 1,069,920 × 1,069,920
  4. Step 4: Simplify right side
    675,712x = 1,144,728,806,400
  5. Step 5: Solve for x
    x = 1,144,728,806,400/675,712
  6. Step 6: Final answer
    x = 1,694,107.56

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.