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Finding the Third Proportional to 629,712 and 1,358,928

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Solution

The third proportional to 629,712 and 1,358,928 is: 2,932,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,712 : 1,358,928 = 1,358,928 : x
  2. Step 2: Convert to fraction form
    629,712/1,358,928 = 1,358,928/x
  3. Step 3: Cross multiply
    629,712x = 1,358,928 × 1,358,928
  4. Step 4: Simplify right side
    629,712x = 1,846,685,309,184
  5. Step 5: Solve for x
    x = 1,846,685,309,184/629,712
  6. Step 6: Final answer
    x = 2,932,587.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.