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Finding the Third Proportional to 842,584 and 1,292,032

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Solution

The third proportional to 842,584 and 1,292,032 is: 1,981,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,584 : 1,292,032 = 1,292,032 : x
  2. Step 2: Convert to fraction form
    842,584/1,292,032 = 1,292,032/x
  3. Step 3: Cross multiply
    842,584x = 1,292,032 × 1,292,032
  4. Step 4: Simplify right side
    842,584x = 1,669,346,689,024
  5. Step 5: Solve for x
    x = 1,669,346,689,024/842,584
  6. Step 6: Final answer
    x = 1,981,222.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.