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Finding the Third Proportional to 539,765,629 and 829,290,233

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Solution

The third proportional to 539,765,629 and 829,290,233 is: 1,274,112,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,765,629 : 829,290,233 = 829,290,233 : x
  2. Step 2: Convert to fraction form
    539,765,629/829,290,233 = 829,290,233/x
  3. Step 3: Cross multiply
    539,765,629x = 829,290,233 × 829,290,233
  4. Step 4: Simplify right side
    539,765,629x = 687,722,290,549,194,240
  5. Step 5: Solve for x
    x = 687,722,290,549,194,240/539,765,629
  6. Step 6: Final answer
    x = 1,274,112,788.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.