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Finding the Third Proportional to 1,657,216 and 2,508,240

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Solution

The third proportional to 1,657,216 and 2,508,240 is: 3,796,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,216 : 2,508,240 = 2,508,240 : x
  2. Step 2: Convert to fraction form
    1,657,216/2,508,240 = 2,508,240/x
  3. Step 3: Cross multiply
    1,657,216x = 2,508,240 × 2,508,240
  4. Step 4: Simplify right side
    1,657,216x = 6,291,267,897,600
  5. Step 5: Solve for x
    x = 6,291,267,897,600/1,657,216
  6. Step 6: Final answer
    x = 3,796,287.21

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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.