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Finding the Third Proportional to 576,968 and 1,258,912

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Solution

The third proportional to 576,968 and 1,258,912 is: 2,746,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,968 : 1,258,912 = 1,258,912 : x
  2. Step 2: Convert to fraction form
    576,968/1,258,912 = 1,258,912/x
  3. Step 3: Cross multiply
    576,968x = 1,258,912 × 1,258,912
  4. Step 4: Simplify right side
    576,968x = 1,584,859,423,744
  5. Step 5: Solve for x
    x = 1,584,859,423,744/576,968
  6. Step 6: Final answer
    x = 2,746,875.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.