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Finding the Third Proportional to 1,321,921 and 1,783,581

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Solution

The third proportional to 1,321,921 and 1,783,581 is: 2,406,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321,921 : 1,783,581 = 1,783,581 : x
  2. Step 2: Convert to fraction form
    1,321,921/1,783,581 = 1,783,581/x
  3. Step 3: Cross multiply
    1,321,921x = 1,783,581 × 1,783,581
  4. Step 4: Simplify right side
    1,321,921x = 3,181,161,183,561
  5. Step 5: Solve for x
    x = 3,181,161,183,561/1,321,921
  6. Step 6: Final answer
    x = 2,406,468.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.