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Finding the Third Proportional to 806,503,283 and 1,245,571,834

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Solution

The third proportional to 806,503,283 and 1,245,571,834 is: 1,923,673,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,503,283 : 1,245,571,834 = 1,245,571,834 : x
  2. Step 2: Convert to fraction form
    806,503,283/1,245,571,834 = 1,245,571,834/x
  3. Step 3: Cross multiply
    806,503,283x = 1,245,571,834 × 1,245,571,834
  4. Step 4: Simplify right side
    806,503,283x = 1,551,449,193,654,123,520
  5. Step 5: Solve for x
    x = 1,551,449,193,654,123,520/806,503,283
  6. Step 6: Final answer
    x = 1,923,673,748.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.