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Finding the Third Proportional to 758,801,589 and 1,756,516,287

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Solution

The third proportional to 758,801,589 and 1,756,516,287 is: 4,066,081,978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,801,589 : 1,756,516,287 = 1,756,516,287 : x
  2. Step 2: Convert to fraction form
    758,801,589/1,756,516,287 = 1,756,516,287/x
  3. Step 3: Cross multiply
    758,801,589x = 1,756,516,287 × 1,756,516,287
  4. Step 4: Simplify right side
    758,801,589x = 3,085,349,466,496,266,240
  5. Step 5: Solve for x
    x = 3,085,349,466,496,266,240/758,801,589
  6. Step 6: Final answer
    x = 4,066,081,978.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.