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Finding the Third Proportional to 1,161,391,868 and 1,775,415,289

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Solution

The third proportional to 1,161,391,868 and 1,775,415,289 is: 2,714,070,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,391,868 : 1,775,415,289 = 1,775,415,289 : x
  2. Step 2: Convert to fraction form
    1,161,391,868/1,775,415,289 = 1,775,415,289/x
  3. Step 3: Cross multiply
    1,161,391,868x = 1,775,415,289 × 1,775,415,289
  4. Step 4: Simplify right side
    1,161,391,868x = 3,152,099,448,414,953,472
  5. Step 5: Solve for x
    x = 3,152,099,448,414,953,472/1,161,391,868
  6. Step 6: Final answer
    x = 2,714,070,534.90

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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.