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Finding the Third Proportional to 657,858 and 1,417,226

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Solution

The third proportional to 657,858 and 1,417,226 is: 3,053,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,858 : 1,417,226 = 1,417,226 : x
  2. Step 2: Convert to fraction form
    657,858/1,417,226 = 1,417,226/x
  3. Step 3: Cross multiply
    657,858x = 1,417,226 × 1,417,226
  4. Step 4: Simplify right side
    657,858x = 2,008,529,535,076
  5. Step 5: Solve for x
    x = 2,008,529,535,076/657,858
  6. Step 6: Final answer
    x = 3,053,135.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.