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Finding the Third Proportional to 1,777,140 and 2,681,412

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Solution

The third proportional to 1,777,140 and 2,681,412 is: 4,045,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777,140 : 2,681,412 = 2,681,412 : x
  2. Step 2: Convert to fraction form
    1,777,140/2,681,412 = 2,681,412/x
  3. Step 3: Cross multiply
    1,777,140x = 2,681,412 × 2,681,412
  4. Step 4: Simplify right side
    1,777,140x = 7,189,970,313,744
  5. Step 5: Solve for x
    x = 7,189,970,313,744/1,777,140
  6. Step 6: Final answer
    x = 4,045,809.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.