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Finding the Third Proportional to 478,568,672 and 1,038,813,600

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Solution

The third proportional to 478,568,672 and 1,038,813,600 is: 2,254,919,217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,568,672 : 1,038,813,600 = 1,038,813,600 : x
  2. Step 2: Convert to fraction form
    478,568,672/1,038,813,600 = 1,038,813,600/x
  3. Step 3: Cross multiply
    478,568,672x = 1,038,813,600 × 1,038,813,600
  4. Step 4: Simplify right side
    478,568,672x = 1,079,133,695,544,960,000
  5. Step 5: Solve for x
    x = 1,079,133,695,544,960,000/478,568,672
  6. Step 6: Final answer
    x = 2,254,919,217.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.