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Finding the Third Proportional to 2,460,823 and 3,852,519

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Solution

The third proportional to 2,460,823 and 3,852,519 is: 6,031,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460,823 : 3,852,519 = 3,852,519 : x
  2. Step 2: Convert to fraction form
    2,460,823/3,852,519 = 3,852,519/x
  3. Step 3: Cross multiply
    2,460,823x = 3,852,519 × 3,852,519
  4. Step 4: Simplify right side
    2,460,823x = 14,841,902,645,361
  5. Step 5: Solve for x
    x = 14,841,902,645,361/2,460,823
  6. Step 6: Final answer
    x = 6,031,275.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.