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Finding the Third Proportional to 403,612 and 833,460

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Solution

The third proportional to 403,612 and 833,460 is: 1,721,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,612 : 833,460 = 833,460 : x
  2. Step 2: Convert to fraction form
    403,612/833,460 = 833,460/x
  3. Step 3: Cross multiply
    403,612x = 833,460 × 833,460
  4. Step 4: Simplify right side
    403,612x = 694,655,571,600
  5. Step 5: Solve for x
    x = 694,655,571,600/403,612
  6. Step 6: Final answer
    x = 1,721,097.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.