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Finding the Third Proportional to 722,408 and 1,062,664

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Solution

The third proportional to 722,408 and 1,062,664 is: 1,563,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,408 : 1,062,664 = 1,062,664 : x
  2. Step 2: Convert to fraction form
    722,408/1,062,664 = 1,062,664/x
  3. Step 3: Cross multiply
    722,408x = 1,062,664 × 1,062,664
  4. Step 4: Simplify right side
    722,408x = 1,129,254,776,896
  5. Step 5: Solve for x
    x = 1,129,254,776,896/722,408
  6. Step 6: Final answer
    x = 1,563,181.44

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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.