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Finding the Third Proportional to 694,017 and 1,606,501

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Solution

The third proportional to 694,017 and 1,606,501 is: 3,718,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,017 : 1,606,501 = 1,606,501 : x
  2. Step 2: Convert to fraction form
    694,017/1,606,501 = 1,606,501/x
  3. Step 3: Cross multiply
    694,017x = 1,606,501 × 1,606,501
  4. Step 4: Simplify right side
    694,017x = 2,580,845,463,001
  5. Step 5: Solve for x
    x = 2,580,845,463,001/694,017
  6. Step 6: Final answer
    x = 3,718,706.40

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.