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Finding the Third Proportional to 517,391,440 and 775,897,168

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Solution

The third proportional to 517,391,440 and 775,897,168 is: 1,163,560,833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,391,440 : 775,897,168 = 775,897,168 : x
  2. Step 2: Convert to fraction form
    517,391,440/775,897,168 = 775,897,168/x
  3. Step 3: Cross multiply
    517,391,440x = 775,897,168 × 775,897,168
  4. Step 4: Simplify right side
    517,391,440x = 602,016,415,310,420,224
  5. Step 5: Solve for x
    x = 602,016,415,310,420,224/517,391,440
  6. Step 6: Final answer
    x = 1,163,560,833.77

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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.