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Finding the Third Proportional to 522,634.75 and 1,108,070

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Solution

The third proportional to 522,634.75 and 1,108,070 is: 2,349,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,634.75 : 1,108,070 = 1,108,070 : x
  2. Step 2: Convert to fraction form
    522,634.75/1,108,070 = 1,108,070/x
  3. Step 3: Cross multiply
    522,634.75x = 1,108,070 × 1,108,070
  4. Step 4: Simplify right side
    522,634.75x = 1,227,819,124,900
  5. Step 5: Solve for x
    x = 1,227,819,124,900/522,634.75
  6. Step 6: Final answer
    x = 2,349,287.19

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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.