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Finding the Third Proportional to 1,259,675,864 and 1,773,128,208

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Solution

The third proportional to 1,259,675,864 and 1,773,128,208 is: 2,495,867,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,675,864 : 1,773,128,208 = 1,773,128,208 : x
  2. Step 2: Convert to fraction form
    1,259,675,864/1,773,128,208 = 1,773,128,208/x
  3. Step 3: Cross multiply
    1,259,675,864x = 1,773,128,208 × 1,773,128,208
  4. Step 4: Simplify right side
    1,259,675,864x = 3,143,983,642,005,291,008
  5. Step 5: Solve for x
    x = 3,143,983,642,005,291,008/1,259,675,864
  6. Step 6: Final answer
    x = 2,495,867,176.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.