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Finding the Third Proportional to 723,703.78 and 1,064,507.06

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Solution

The third proportional to 723,703.78 and 1,064,507.06 is: 1,565,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,703.78 : 1,064,507.06 = 1,064,507.06 : x
  2. Step 2: Convert to fraction form
    723,703.78/1,064,507.06 = 1,064,507.06/x
  3. Step 3: Cross multiply
    723,703.78x = 1,064,507.06 × 1,064,507.06
  4. Step 4: Simplify right side
    723,703.78x = 1,133,175,286,112.38
  5. Step 5: Solve for x
    x = 1,133,175,286,112.38/723,703.78
  6. Step 6: Final answer
    x = 1,565,799.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.