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Finding the Third Proportional to 387,617,966 and 595,795,656

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Solution

The third proportional to 387,617,966 and 595,795,656 is: 915,779,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,617,966 : 595,795,656 = 595,795,656 : x
  2. Step 2: Convert to fraction form
    387,617,966/595,795,656 = 595,795,656/x
  3. Step 3: Cross multiply
    387,617,966x = 595,795,656 × 595,795,656
  4. Step 4: Simplify right side
    387,617,966x = 354,972,463,708,470,336
  5. Step 5: Solve for x
    x = 354,972,463,708,470,336/387,617,966
  6. Step 6: Final answer
    x = 915,779,181.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.