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Finding the Third Proportional to 826,489,546 and 1,798,255,464

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Solution

The third proportional to 826,489,546 and 1,798,255,464 is: 3,912,599,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,489,546 : 1,798,255,464 = 1,798,255,464 : x
  2. Step 2: Convert to fraction form
    826,489,546/1,798,255,464 = 1,798,255,464/x
  3. Step 3: Cross multiply
    826,489,546x = 1,798,255,464 × 1,798,255,464
  4. Step 4: Simplify right side
    826,489,546x = 3,233,722,713,805,855,232
  5. Step 5: Solve for x
    x = 3,233,722,713,805,855,232/826,489,546
  6. Step 6: Final answer
    x = 3,912,599,656.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.