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Finding the Third Proportional to 1,714,651 and 3,835,273

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Solution

The third proportional to 1,714,651 and 3,835,273 is: 8,578,608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,651 : 3,835,273 = 3,835,273 : x
  2. Step 2: Convert to fraction form
    1,714,651/3,835,273 = 3,835,273/x
  3. Step 3: Cross multiply
    1,714,651x = 3,835,273 × 3,835,273
  4. Step 4: Simplify right side
    1,714,651x = 14,709,318,984,529
  5. Step 5: Solve for x
    x = 14,709,318,984,529/1,714,651
  6. Step 6: Final answer
    x = 8,578,608.12

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.