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Finding the Third Proportional to 417,944,462 and 975,970,652

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Solution

The third proportional to 417,944,462 and 975,970,652 is: 2,279,055,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,944,462 : 975,970,652 = 975,970,652 : x
  2. Step 2: Convert to fraction form
    417,944,462/975,970,652 = 975,970,652/x
  3. Step 3: Cross multiply
    417,944,462x = 975,970,652 × 975,970,652
  4. Step 4: Simplify right side
    417,944,462x = 952,518,713,565,305,088
  5. Step 5: Solve for x
    x = 952,518,713,565,305,088/417,944,462
  6. Step 6: Final answer
    x = 2,279,055,712.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.