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Finding the Third Proportional to 465,459,982 and 1,012,640,832

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Solution

The third proportional to 465,459,982 and 1,012,640,832 is: 2,203,071,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,459,982 : 1,012,640,832 = 1,012,640,832 : x
  2. Step 2: Convert to fraction form
    465,459,982/1,012,640,832 = 1,012,640,832/x
  3. Step 3: Cross multiply
    465,459,982x = 1,012,640,832 × 1,012,640,832
  4. Step 4: Simplify right side
    465,459,982x = 1,025,441,454,633,652,224
  5. Step 5: Solve for x
    x = 1,025,441,454,633,652,224/465,459,982
  6. Step 6: Final answer
    x = 2,203,071,143.15

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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.