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Finding the Third Proportional to 590,894 and 1,252,682

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Solution

The third proportional to 590,894 and 1,252,682 is: 2,655,657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,894 : 1,252,682 = 1,252,682 : x
  2. Step 2: Convert to fraction form
    590,894/1,252,682 = 1,252,682/x
  3. Step 3: Cross multiply
    590,894x = 1,252,682 × 1,252,682
  4. Step 4: Simplify right side
    590,894x = 1,569,212,193,124
  5. Step 5: Solve for x
    x = 1,569,212,193,124/590,894
  6. Step 6: Final answer
    x = 2,655,657.69

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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.