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Finding the Third Proportional to 2,489,216 and 3,844,370

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Solution

The third proportional to 2,489,216 and 3,844,370 is: 5,937,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489,216 : 3,844,370 = 3,844,370 : x
  2. Step 2: Convert to fraction form
    2,489,216/3,844,370 = 3,844,370/x
  3. Step 3: Cross multiply
    2,489,216x = 3,844,370 × 3,844,370
  4. Step 4: Simplify right side
    2,489,216x = 14,779,180,696,900
  5. Step 5: Solve for x
    x = 14,779,180,696,900/2,489,216
  6. Step 6: Final answer
    x = 5,937,283.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.