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Finding the Third Proportional to 522,894 and 1,108,574

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Solution

The third proportional to 522,894 and 1,108,574 is: 2,350,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,894 : 1,108,574 = 1,108,574 : x
  2. Step 2: Convert to fraction form
    522,894/1,108,574 = 1,108,574/x
  3. Step 3: Cross multiply
    522,894x = 1,108,574 × 1,108,574
  4. Step 4: Simplify right side
    522,894x = 1,228,936,313,476
  5. Step 5: Solve for x
    x = 1,228,936,313,476/522,894
  6. Step 6: Final answer
    x = 2,350,258.97

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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.