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Finding the Third Proportional to 796,727 and 1,219,323

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Solution

The third proportional to 796,727 and 1,219,323 is: 1,866,070.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,727 : 1,219,323 = 1,219,323 : x
  2. Step 2: Convert to fraction form
    796,727/1,219,323 = 1,219,323/x
  3. Step 3: Cross multiply
    796,727x = 1,219,323 × 1,219,323
  4. Step 4: Simplify right side
    796,727x = 1,486,748,578,329
  5. Step 5: Solve for x
    x = 1,486,748,578,329/796,727
  6. Step 6: Final answer
    x = 1,866,070.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.