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Finding the Third Proportional to 387,983,264 and 840,544,128

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Solution

The third proportional to 387,983,264 and 840,544,128 is: 1,820,992,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,983,264 : 840,544,128 = 840,544,128 : x
  2. Step 2: Convert to fraction form
    387,983,264/840,544,128 = 840,544,128/x
  3. Step 3: Cross multiply
    387,983,264x = 840,544,128 × 840,544,128
  4. Step 4: Simplify right side
    387,983,264x = 706,514,431,115,280,384
  5. Step 5: Solve for x
    x = 706,514,431,115,280,384/387,983,264
  6. Step 6: Final answer
    x = 1,820,992,028.96

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