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Finding the Third Proportional to 602,823,364 and 1,298,015,049

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Solution

The third proportional to 602,823,364 and 1,298,015,049 is: 2,794,919,984.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,823,364 : 1,298,015,049 = 1,298,015,049 : x
  2. Step 2: Convert to fraction form
    602,823,364/1,298,015,049 = 1,298,015,049/x
  3. Step 3: Cross multiply
    602,823,364x = 1,298,015,049 × 1,298,015,049
  4. Step 4: Simplify right side
    602,823,364x = 1,684,843,067,430,472,448
  5. Step 5: Solve for x
    x = 1,684,843,067,430,472,448/602,823,364
  6. Step 6: Final answer
    x = 2,794,919,984.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.