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Finding the Third Proportional to 478,568,982 and 1,038,814,214

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Solution

The third proportional to 478,568,982 and 1,038,814,214 is: 2,254,920,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,568,982 : 1,038,814,214 = 1,038,814,214 : x
  2. Step 2: Convert to fraction form
    478,568,982/1,038,814,214 = 1,038,814,214/x
  3. Step 3: Cross multiply
    478,568,982x = 1,038,814,214 × 1,038,814,214
  4. Step 4: Simplify right side
    478,568,982x = 1,079,134,971,208,437,760
  5. Step 5: Solve for x
    x = 1,079,134,971,208,437,760/478,568,982
  6. Step 6: Final answer
    x = 2,254,920,422.75

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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.