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Finding the Third Proportional to 723,828 and 1,064,691

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Solution

The third proportional to 723,828 and 1,064,691 is: 1,566,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,828 : 1,064,691 = 1,064,691 : x
  2. Step 2: Convert to fraction form
    723,828/1,064,691 = 1,064,691/x
  3. Step 3: Cross multiply
    723,828x = 1,064,691 × 1,064,691
  4. Step 4: Simplify right side
    723,828x = 1,133,566,925,481
  5. Step 5: Solve for x
    x = 1,133,566,925,481/723,828
  6. Step 6: Final answer
    x = 1,566,072.22

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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.