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Finding the Third Proportional to 821,583,317 and 1,272,612,920

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Solution

The third proportional to 821,583,317 and 1,272,612,920 is: 1,971,246,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,583,317 : 1,272,612,920 = 1,272,612,920 : x
  2. Step 2: Convert to fraction form
    821,583,317/1,272,612,920 = 1,272,612,920/x
  3. Step 3: Cross multiply
    821,583,317x = 1,272,612,920 × 1,272,612,920
  4. Step 4: Simplify right side
    821,583,317x = 1,619,543,644,150,926,336
  5. Step 5: Solve for x
    x = 1,619,543,644,150,926,336/821,583,317
  6. Step 6: Final answer
    x = 1,971,246,994.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.