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Finding the Third Proportional to 522,906 and 1,108,590

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Solution

The third proportional to 522,906 and 1,108,590 is: 2,350,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,906 : 1,108,590 = 1,108,590 : x
  2. Step 2: Convert to fraction form
    522,906/1,108,590 = 1,108,590/x
  3. Step 3: Cross multiply
    522,906x = 1,108,590 × 1,108,590
  4. Step 4: Simplify right side
    522,906x = 1,228,971,788,100
  5. Step 5: Solve for x
    x = 1,228,971,788,100/522,906
  6. Step 6: Final answer
    x = 2,350,272.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.