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Finding the Third Proportional to 594,216 and 1,262,061

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Solution

The third proportional to 594,216 and 1,262,061 is: 2,680,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,216 : 1,262,061 = 1,262,061 : x
  2. Step 2: Convert to fraction form
    594,216/1,262,061 = 1,262,061/x
  3. Step 3: Cross multiply
    594,216x = 1,262,061 × 1,262,061
  4. Step 4: Simplify right side
    594,216x = 1,592,797,967,721
  5. Step 5: Solve for x
    x = 1,592,797,967,721/594,216
  6. Step 6: Final answer
    x = 2,680,503.33

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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.