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Finding the Third Proportional to 490,844,426 and 781,407,303

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Solution

The third proportional to 490,844,426 and 781,407,303 is: 1,243,973,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,844,426 : 781,407,303 = 781,407,303 : x
  2. Step 2: Convert to fraction form
    490,844,426/781,407,303 = 781,407,303/x
  3. Step 3: Cross multiply
    490,844,426x = 781,407,303 × 781,407,303
  4. Step 4: Simplify right side
    490,844,426x = 610,597,373,181,733,760
  5. Step 5: Solve for x
    x = 610,597,373,181,733,760/490,844,426
  6. Step 6: Final answer
    x = 1,243,973,326.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.