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Finding the Third Proportional to 1,927,828 and 4,187,524

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Solution

The third proportional to 1,927,828 and 4,187,524 is: 9,095,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927,828 : 4,187,524 = 4,187,524 : x
  2. Step 2: Convert to fraction form
    1,927,828/4,187,524 = 4,187,524/x
  3. Step 3: Cross multiply
    1,927,828x = 4,187,524 × 4,187,524
  4. Step 4: Simplify right side
    1,927,828x = 17,535,357,250,576
  5. Step 5: Solve for x
    x = 17,535,357,250,576/1,927,828
  6. Step 6: Final answer
    x = 9,095,913.77

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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.