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Finding the Third Proportional to 2,852,567 and 6,342,927

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Solution

The third proportional to 2,852,567 and 6,342,927 is: 14,104,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852,567 : 6,342,927 = 6,342,927 : x
  2. Step 2: Convert to fraction form
    2,852,567/6,342,927 = 6,342,927/x
  3. Step 3: Cross multiply
    2,852,567x = 6,342,927 × 6,342,927
  4. Step 4: Simplify right side
    2,852,567x = 40,232,722,927,329
  5. Step 5: Solve for x
    x = 40,232,722,927,329/2,852,567
  6. Step 6: Final answer
    x = 14,104,041.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.