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Finding the Third Proportional to 3,927,606 and 6,095,722.50

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Solution

The third proportional to 3,927,606 and 6,095,722.50 is: 9,460,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927,606 : 6,095,722.50 = 6,095,722.50 : x
  2. Step 2: Convert to fraction form
    3,927,606/6,095,722.50 = 6,095,722.50/x
  3. Step 3: Cross multiply
    3,927,606x = 6,095,722.50 × 6,095,722.50
  4. Step 4: Simplify right side
    3,927,606x = 37,157,832,797,006.25
  5. Step 5: Solve for x
    x = 37,157,832,797,006.25/3,927,606
  6. Step 6: Final answer
    x = 9,460,682.36

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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.