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Finding the Third Proportional to 1,605,216 and 3,343,288

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Solution

The third proportional to 1,605,216 and 3,343,288 is: 6,963,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,216 : 3,343,288 = 3,343,288 : x
  2. Step 2: Convert to fraction form
    1,605,216/3,343,288 = 3,343,288/x
  3. Step 3: Cross multiply
    1,605,216x = 3,343,288 × 3,343,288
  4. Step 4: Simplify right side
    1,605,216x = 11,177,574,650,944
  5. Step 5: Solve for x
    x = 11,177,574,650,944/1,605,216
  6. Step 6: Final answer
    x = 6,963,283.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.