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Finding the Third Proportional to 753,840 and 1,638,560

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Solution

The third proportional to 753,840 and 1,638,560 is: 3,561,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,840 : 1,638,560 = 1,638,560 : x
  2. Step 2: Convert to fraction form
    753,840/1,638,560 = 1,638,560/x
  3. Step 3: Cross multiply
    753,840x = 1,638,560 × 1,638,560
  4. Step 4: Simplify right side
    753,840x = 2,684,878,873,600
  5. Step 5: Solve for x
    x = 2,684,878,873,600/753,840
  6. Step 6: Final answer
    x = 3,561,603.09

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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.