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Finding the Third Proportional to 910,854,500 and 1,399,427,270

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Solution

The third proportional to 910,854,500 and 1,399,427,270 is: 2,150,065,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,854,500 : 1,399,427,270 = 1,399,427,270 : x
  2. Step 2: Convert to fraction form
    910,854,500/1,399,427,270 = 1,399,427,270/x
  3. Step 3: Cross multiply
    910,854,500x = 1,399,427,270 × 1,399,427,270
  4. Step 4: Simplify right side
    910,854,500x = 1,958,396,684,019,652,864
  5. Step 5: Solve for x
    x = 1,958,396,684,019,652,864/910,854,500
  6. Step 6: Final answer
    x = 2,150,065,333.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.