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Finding the Third Proportional to 713,904 and 1,558,032

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Solution

The third proportional to 713,904 and 1,558,032 is: 3,400,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,904 : 1,558,032 = 1,558,032 : x
  2. Step 2: Convert to fraction form
    713,904/1,558,032 = 1,558,032/x
  3. Step 3: Cross multiply
    713,904x = 1,558,032 × 1,558,032
  4. Step 4: Simplify right side
    713,904x = 2,427,463,713,024
  5. Step 5: Solve for x
    x = 2,427,463,713,024/713,904
  6. Step 6: Final answer
    x = 3,400,266.30

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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.