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Finding the Third Proportional to 668,374,596 and 1,021,772,493

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Solution

The third proportional to 668,374,596 and 1,021,772,493 is: 1,562,026,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,374,596 : 1,021,772,493 = 1,021,772,493 : x
  2. Step 2: Convert to fraction form
    668,374,596/1,021,772,493 = 1,021,772,493/x
  3. Step 3: Cross multiply
    668,374,596x = 1,021,772,493 × 1,021,772,493
  4. Step 4: Simplify right side
    668,374,596x = 1,044,019,027,451,435,008
  5. Step 5: Solve for x
    x = 1,044,019,027,451,435,008/668,374,596
  6. Step 6: Final answer
    x = 1,562,026,794.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.