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Finding the Third Proportional to 775,671,264 and 1,088,420,355

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Solution

The third proportional to 775,671,264 and 1,088,420,355 is: 1,527,269,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,671,264 : 1,088,420,355 = 1,088,420,355 : x
  2. Step 2: Convert to fraction form
    775,671,264/1,088,420,355 = 1,088,420,355/x
  3. Step 3: Cross multiply
    775,671,264x = 1,088,420,355 × 1,088,420,355
  4. Step 4: Simplify right side
    775,671,264x = 1,184,658,869,178,326,016
  5. Step 5: Solve for x
    x = 1,184,658,869,178,326,016/775,671,264
  6. Step 6: Final answer
    x = 1,527,269,249.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.