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Finding the Third Proportional to 648,285,788 and 1,419,521,798

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Solution

The third proportional to 648,285,788 and 1,419,521,798 is: 3,108,262,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,285,788 : 1,419,521,798 = 1,419,521,798 : x
  2. Step 2: Convert to fraction form
    648,285,788/1,419,521,798 = 1,419,521,798/x
  3. Step 3: Cross multiply
    648,285,788x = 1,419,521,798 × 1,419,521,798
  4. Step 4: Simplify right side
    648,285,788x = 2,015,042,134,997,152,768
  5. Step 5: Solve for x
    x = 2,015,042,134,997,152,768/648,285,788
  6. Step 6: Final answer
    x = 3,108,262,084.86

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