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Finding the Third Proportional to 767,613,357 and 1,122,631,434

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Solution

The third proportional to 767,613,357 and 1,122,631,434 is: 1,641,843,937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,613,357 : 1,122,631,434 = 1,122,631,434 : x
  2. Step 2: Convert to fraction form
    767,613,357/1,122,631,434 = 1,122,631,434/x
  3. Step 3: Cross multiply
    767,613,357x = 1,122,631,434 × 1,122,631,434
  4. Step 4: Simplify right side
    767,613,357x = 1,260,301,336,604,896,256
  5. Step 5: Solve for x
    x = 1,260,301,336,604,896,256/767,613,357
  6. Step 6: Final answer
    x = 1,641,843,937.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.