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Finding the Third Proportional to 1,927,924.50 and 4,187,727

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Solution

The third proportional to 1,927,924.50 and 4,187,727 is: 9,096,340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927,924.50 : 4,187,727 = 4,187,727 : x
  2. Step 2: Convert to fraction form
    1,927,924.50/4,187,727 = 4,187,727/x
  3. Step 3: Cross multiply
    1,927,924.50x = 4,187,727 × 4,187,727
  4. Step 4: Simplify right side
    1,927,924.50x = 17,537,057,426,529
  5. Step 5: Solve for x
    x = 17,537,057,426,529/1,927,924.50
  6. Step 6: Final answer
    x = 9,096,340.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.