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Finding the Third Proportional to 454,869,464 and 650,019,003

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Solution

The third proportional to 454,869,464 and 650,019,003 is: 928,892,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,869,464 : 650,019,003 = 650,019,003 : x
  2. Step 2: Convert to fraction form
    454,869,464/650,019,003 = 650,019,003/x
  3. Step 3: Cross multiply
    454,869,464x = 650,019,003 × 650,019,003
  4. Step 4: Simplify right side
    454,869,464x = 422,524,704,261,113,984
  5. Step 5: Solve for x
    x = 422,524,704,261,113,984/454,869,464
  6. Step 6: Final answer
    x = 928,892,215.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.