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Finding the Third Proportional to 484,974 and 1,053,888

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Solution

The third proportional to 484,974 and 1,053,888 is: 2,290,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,974 : 1,053,888 = 1,053,888 : x
  2. Step 2: Convert to fraction form
    484,974/1,053,888 = 1,053,888/x
  3. Step 3: Cross multiply
    484,974x = 1,053,888 × 1,053,888
  4. Step 4: Simplify right side
    484,974x = 1,110,679,916,544
  5. Step 5: Solve for x
    x = 1,110,679,916,544/484,974
  6. Step 6: Final answer
    x = 2,290,184.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.