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Finding the Third Proportional to 576,724 and 1,258,424

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Solution

The third proportional to 576,724 and 1,258,424 is: 2,745,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,724 : 1,258,424 = 1,258,424 : x
  2. Step 2: Convert to fraction form
    576,724/1,258,424 = 1,258,424/x
  3. Step 3: Cross multiply
    576,724x = 1,258,424 × 1,258,424
  4. Step 4: Simplify right side
    576,724x = 1,583,630,963,776
  5. Step 5: Solve for x
    x = 1,583,630,963,776/576,724
  6. Step 6: Final answer
    x = 2,745,907.86

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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.