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Finding the Third Proportional to 675,216 and 1,069,200

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Solution

The third proportional to 675,216 and 1,069,200 is: 1,693,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,216 : 1,069,200 = 1,069,200 : x
  2. Step 2: Convert to fraction form
    675,216/1,069,200 = 1,069,200/x
  3. Step 3: Cross multiply
    675,216x = 1,069,200 × 1,069,200
  4. Step 4: Simplify right side
    675,216x = 1,143,188,640,000
  5. Step 5: Solve for x
    x = 1,143,188,640,000/675,216
  6. Step 6: Final answer
    x = 1,693,071.02

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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.