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Finding the Third Proportional to 1,928,938 and 4,076,576

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Solution

The third proportional to 1,928,938 and 4,076,576 is: 8,615,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,938 : 4,076,576 = 4,076,576 : x
  2. Step 2: Convert to fraction form
    1,928,938/4,076,576 = 4,076,576/x
  3. Step 3: Cross multiply
    1,928,938x = 4,076,576 × 4,076,576
  4. Step 4: Simplify right side
    1,928,938x = 16,618,471,883,776
  5. Step 5: Solve for x
    x = 16,618,471,883,776/1,928,938
  6. Step 6: Final answer
    x = 8,615,347.87

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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.