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Finding the Third Proportional to 739,712 and 1,083,232

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Solution

The third proportional to 739,712 and 1,083,232 is: 1,586,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,712 : 1,083,232 = 1,083,232 : x
  2. Step 2: Convert to fraction form
    739,712/1,083,232 = 1,083,232/x
  3. Step 3: Cross multiply
    739,712x = 1,083,232 × 1,083,232
  4. Step 4: Simplify right side
    739,712x = 1,173,391,565,824
  5. Step 5: Solve for x
    x = 1,173,391,565,824/739,712
  6. Step 6: Final answer
    x = 1,586,281.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.