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Finding the Third Proportional to 530,696 and 1,121,292

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Solution

The third proportional to 530,696 and 1,121,292 is: 2,369,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,696 : 1,121,292 = 1,121,292 : x
  2. Step 2: Convert to fraction form
    530,696/1,121,292 = 1,121,292/x
  3. Step 3: Cross multiply
    530,696x = 1,121,292 × 1,121,292
  4. Step 4: Simplify right side
    530,696x = 1,257,295,749,264
  5. Step 5: Solve for x
    x = 1,257,295,749,264/530,696
  6. Step 6: Final answer
    x = 2,369,144.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.