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Finding the Third Proportional to 872,322,581 and 1,309,122,480

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Solution

The third proportional to 872,322,581 and 1,309,122,480 is: 1,964,642,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,322,581 : 1,309,122,480 = 1,309,122,480 : x
  2. Step 2: Convert to fraction form
    872,322,581/1,309,122,480 = 1,309,122,480/x
  3. Step 3: Cross multiply
    872,322,581x = 1,309,122,480 × 1,309,122,480
  4. Step 4: Simplify right side
    872,322,581x = 1,713,801,667,641,350,400
  5. Step 5: Solve for x
    x = 1,713,801,667,641,350,400/872,322,581
  6. Step 6: Final answer
    x = 1,964,642,100.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.