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Finding the Third Proportional to 814,904 and 1,064,768

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Solution

The third proportional to 814,904 and 1,064,768 is: 1,391,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,904 : 1,064,768 = 1,064,768 : x
  2. Step 2: Convert to fraction form
    814,904/1,064,768 = 1,064,768/x
  3. Step 3: Cross multiply
    814,904x = 1,064,768 × 1,064,768
  4. Step 4: Simplify right side
    814,904x = 1,133,730,893,824
  5. Step 5: Solve for x
    x = 1,133,730,893,824/814,904
  6. Step 6: Final answer
    x = 1,391,244.73

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.