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Finding the Third Proportional to 1,657,214 and 2,508,237

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Solution

The third proportional to 1,657,214 and 2,508,237 is: 3,796,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,214 : 2,508,237 = 2,508,237 : x
  2. Step 2: Convert to fraction form
    1,657,214/2,508,237 = 2,508,237/x
  3. Step 3: Cross multiply
    1,657,214x = 2,508,237 × 2,508,237
  4. Step 4: Simplify right side
    1,657,214x = 6,291,252,848,169
  5. Step 5: Solve for x
    x = 6,291,252,848,169/1,657,214
  6. Step 6: Final answer
    x = 3,796,282.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.