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Finding the Third Proportional to 801,408,882 and 1,208,420,034

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Solution

The third proportional to 801,408,882 and 1,208,420,034 is: 1,822,139,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,408,882 : 1,208,420,034 = 1,208,420,034 : x
  2. Step 2: Convert to fraction form
    801,408,882/1,208,420,034 = 1,208,420,034/x
  3. Step 3: Cross multiply
    801,408,882x = 1,208,420,034 × 1,208,420,034
  4. Step 4: Simplify right side
    801,408,882x = 1,460,278,978,572,561,152
  5. Step 5: Solve for x
    x = 1,460,278,978,572,561,152/801,408,882
  6. Step 6: Final answer
    x = 1,822,139,748.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.