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Finding the Third Proportional to 648,285,802 and 1,419,521,827

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Solution

The third proportional to 648,285,802 and 1,419,521,827 is: 3,108,262,144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,285,802 : 1,419,521,827 = 1,419,521,827 : x
  2. Step 2: Convert to fraction form
    648,285,802/1,419,521,827 = 1,419,521,827/x
  3. Step 3: Cross multiply
    648,285,802x = 1,419,521,827 × 1,419,521,827
  4. Step 4: Simplify right side
    648,285,802x = 2,015,042,217,329,417,984
  5. Step 5: Solve for x
    x = 2,015,042,217,329,417,984/648,285,802
  6. Step 6: Final answer
    x = 3,108,262,144.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.