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Finding the Third Proportional to 648,786,246 and 1,343,560,728

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Solution

The third proportional to 648,786,246 and 1,343,560,728 is: 2,782,357,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,786,246 : 1,343,560,728 = 1,343,560,728 : x
  2. Step 2: Convert to fraction form
    648,786,246/1,343,560,728 = 1,343,560,728/x
  3. Step 3: Cross multiply
    648,786,246x = 1,343,560,728 × 1,343,560,728
  4. Step 4: Simplify right side
    648,786,246x = 1,805,155,429,823,889,920
  5. Step 5: Solve for x
    x = 1,805,155,429,823,889,920/648,786,246
  6. Step 6: Final answer
    x = 2,782,357,734.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.