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Finding the Third Proportional to 605,630 and 940,428

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Solution

The third proportional to 605,630 and 940,428 is: 1,460,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,630 : 940,428 = 940,428 : x
  2. Step 2: Convert to fraction form
    605,630/940,428 = 940,428/x
  3. Step 3: Cross multiply
    605,630x = 940,428 × 940,428
  4. Step 4: Simplify right side
    605,630x = 884,404,823,184
  5. Step 5: Solve for x
    x = 884,404,823,184/605,630
  6. Step 6: Final answer
    x = 1,460,305.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.