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Finding the Third Proportional to 488,199,441 and 736,839,144

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Solution

The third proportional to 488,199,441 and 736,839,144 is: 1,112,110,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,199,441 : 736,839,144 = 736,839,144 : x
  2. Step 2: Convert to fraction form
    488,199,441/736,839,144 = 736,839,144/x
  3. Step 3: Cross multiply
    488,199,441x = 736,839,144 × 736,839,144
  4. Step 4: Simplify right side
    488,199,441x = 542,931,924,130,652,736
  5. Step 5: Solve for x
    x = 542,931,924,130,652,736/488,199,441
  6. Step 6: Final answer
    x = 1,112,110,909.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.