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Finding the Third Proportional to 576,972 and 1,258,920

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Solution

The third proportional to 576,972 and 1,258,920 is: 2,746,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,972 : 1,258,920 = 1,258,920 : x
  2. Step 2: Convert to fraction form
    576,972/1,258,920 = 1,258,920/x
  3. Step 3: Cross multiply
    576,972x = 1,258,920 × 1,258,920
  4. Step 4: Simplify right side
    576,972x = 1,584,879,566,400
  5. Step 5: Solve for x
    x = 1,584,879,566,400/576,972
  6. Step 6: Final answer
    x = 2,746,891.65

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Why These Related Problems?

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