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Finding the Third Proportional to 716,832 and 1,058,904

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Solution

The third proportional to 716,832 and 1,058,904 is: 1,564,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,832 : 1,058,904 = 1,058,904 : x
  2. Step 2: Convert to fraction form
    716,832/1,058,904 = 1,058,904/x
  3. Step 3: Cross multiply
    716,832x = 1,058,904 × 1,058,904
  4. Step 4: Simplify right side
    716,832x = 1,121,277,681,216
  5. Step 5: Solve for x
    x = 1,121,277,681,216/716,832
  6. Step 6: Final answer
    x = 1,564,212.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.