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Finding the Third Proportional to 659,290,134 and 1,372,837,074

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Solution

The third proportional to 659,290,134 and 1,372,837,074 is: 2,858,652,867.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,290,134 : 1,372,837,074 = 1,372,837,074 : x
  2. Step 2: Convert to fraction form
    659,290,134/1,372,837,074 = 1,372,837,074/x
  3. Step 3: Cross multiply
    659,290,134x = 1,372,837,074 × 1,372,837,074
  4. Step 4: Simplify right side
    659,290,134x = 1,884,681,631,748,881,408
  5. Step 5: Solve for x
    x = 1,884,681,631,748,881,408/659,290,134
  6. Step 6: Final answer
    x = 2,858,652,867.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.