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Finding the Third Proportional to 839,943 and 1,297,053

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Solution

The third proportional to 839,943 and 1,297,053 is: 2,002,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,943 : 1,297,053 = 1,297,053 : x
  2. Step 2: Convert to fraction form
    839,943/1,297,053 = 1,297,053/x
  3. Step 3: Cross multiply
    839,943x = 1,297,053 × 1,297,053
  4. Step 4: Simplify right side
    839,943x = 1,682,346,484,809
  5. Step 5: Solve for x
    x = 1,682,346,484,809/839,943
  6. Step 6: Final answer
    x = 2,002,929.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.