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Finding the Third Proportional to 484,564 and 1,061,816

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Solution

The third proportional to 484,564 and 1,061,816 is: 2,326,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,564 : 1,061,816 = 1,061,816 : x
  2. Step 2: Convert to fraction form
    484,564/1,061,816 = 1,061,816/x
  3. Step 3: Cross multiply
    484,564x = 1,061,816 × 1,061,816
  4. Step 4: Simplify right side
    484,564x = 1,127,453,217,856
  5. Step 5: Solve for x
    x = 1,127,453,217,856/484,564
  6. Step 6: Final answer
    x = 2,326,737.48

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Why These Related Problems?

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