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Finding the Third Proportional to 600,008 and 1,267,460

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Solution

The third proportional to 600,008 and 1,267,460 is: 2,677,389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,008 : 1,267,460 = 1,267,460 : x
  2. Step 2: Convert to fraction form
    600,008/1,267,460 = 1,267,460/x
  3. Step 3: Cross multiply
    600,008x = 1,267,460 × 1,267,460
  4. Step 4: Simplify right side
    600,008x = 1,606,454,851,600
  5. Step 5: Solve for x
    x = 1,606,454,851,600/600,008
  6. Step 6: Final answer
    x = 2,677,389.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.