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Finding the Third Proportional to 713,906 and 1,558,036

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Solution

The third proportional to 713,906 and 1,558,036 is: 3,400,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,906 : 1,558,036 = 1,558,036 : x
  2. Step 2: Convert to fraction form
    713,906/1,558,036 = 1,558,036/x
  3. Step 3: Cross multiply
    713,906x = 1,558,036 × 1,558,036
  4. Step 4: Simplify right side
    713,906x = 2,427,476,177,296
  5. Step 5: Solve for x
    x = 2,427,476,177,296/713,906
  6. Step 6: Final answer
    x = 3,400,274.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.