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Finding the Third Proportional to 408,046,338 and 885,370,986

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Solution

The third proportional to 408,046,338 and 885,370,986 is: 1,921,060,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,338 : 885,370,986 = 885,370,986 : x
  2. Step 2: Convert to fraction form
    408,046,338/885,370,986 = 885,370,986/x
  3. Step 3: Cross multiply
    408,046,338x = 885,370,986 × 885,370,986
  4. Step 4: Simplify right side
    408,046,338x = 783,881,782,850,612,224
  5. Step 5: Solve for x
    x = 783,881,782,850,612,224/408,046,338
  6. Step 6: Final answer
    x = 1,921,060,697.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.