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Finding the Third Proportional to 558,426,654 and 1,227,629,214

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Solution

The third proportional to 558,426,654 and 1,227,629,214 is: 2,698,785,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,426,654 : 1,227,629,214 = 1,227,629,214 : x
  2. Step 2: Convert to fraction form
    558,426,654/1,227,629,214 = 1,227,629,214/x
  3. Step 3: Cross multiply
    558,426,654x = 1,227,629,214 × 1,227,629,214
  4. Step 4: Simplify right side
    558,426,654x = 1,507,073,487,066,257,920
  5. Step 5: Solve for x
    x = 1,507,073,487,066,257,920/558,426,654
  6. Step 6: Final answer
    x = 2,698,785,017.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.