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Finding the Third Proportional to 488,199,417 and 736,839,108

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Solution

The third proportional to 488,199,417 and 736,839,108 is: 1,112,110,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,199,417 : 736,839,108 = 736,839,108 : x
  2. Step 2: Convert to fraction form
    488,199,417/736,839,108 = 736,839,108/x
  3. Step 3: Cross multiply
    488,199,417x = 736,839,108 × 736,839,108
  4. Step 4: Simplify right side
    488,199,417x = 542,931,871,078,235,648
  5. Step 5: Solve for x
    x = 542,931,871,078,235,648/488,199,417
  6. Step 6: Final answer
    x = 1,112,110,855.06

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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.