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Finding the Third Proportional to 723,824 and 1,064,660

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Solution

The third proportional to 723,824 and 1,064,660 is: 1,565,989.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,824 : 1,064,660 = 1,064,660 : x
  2. Step 2: Convert to fraction form
    723,824/1,064,660 = 1,064,660/x
  3. Step 3: Cross multiply
    723,824x = 1,064,660 × 1,064,660
  4. Step 4: Simplify right side
    723,824x = 1,133,500,915,600
  5. Step 5: Solve for x
    x = 1,133,500,915,600/723,824
  6. Step 6: Final answer
    x = 1,565,989.68

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