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Finding the Third Proportional to 319,073,499 and 694,051,821

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Solution

The third proportional to 319,073,499 and 694,051,821 is: 1,509,708,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,073,499 : 694,051,821 = 694,051,821 : x
  2. Step 2: Convert to fraction form
    319,073,499/694,051,821 = 694,051,821/x
  3. Step 3: Cross multiply
    319,073,499x = 694,051,821 × 694,051,821
  4. Step 4: Simplify right side
    319,073,499x = 481,707,930,233,416,064
  5. Step 5: Solve for x
    x = 481,707,930,233,416,064/319,073,499
  6. Step 6: Final answer
    x = 1,509,708,364.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.