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Finding the Third Proportional to 927,216 and 1,987,506

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Solution

The third proportional to 927,216 and 1,987,506 is: 4,260,258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,216 : 1,987,506 = 1,987,506 : x
  2. Step 2: Convert to fraction form
    927,216/1,987,506 = 1,987,506/x
  3. Step 3: Cross multiply
    927,216x = 1,987,506 × 1,987,506
  4. Step 4: Simplify right side
    927,216x = 3,950,180,100,036
  5. Step 5: Solve for x
    x = 3,950,180,100,036/927,216
  6. Step 6: Final answer
    x = 4,260,258.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.