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Finding the Third Proportional to 1,292,801,580 and 2,005,894,932

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Solution

The third proportional to 1,292,801,580 and 2,005,894,932 is: 3,112,321,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,801,580 : 2,005,894,932 = 2,005,894,932 : x
  2. Step 2: Convert to fraction form
    1,292,801,580/2,005,894,932 = 2,005,894,932/x
  3. Step 3: Cross multiply
    1,292,801,580x = 2,005,894,932 × 2,005,894,932
  4. Step 4: Simplify right side
    1,292,801,580x = 4,023,614,478,223,284,736
  5. Step 5: Solve for x
    x = 4,023,614,478,223,284,736/1,292,801,580
  6. Step 6: Final answer
    x = 3,112,321,751.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.