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Finding the Third Proportional to 753,846 and 1,638,572

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Solution

The third proportional to 753,846 and 1,638,572 is: 3,561,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,846 : 1,638,572 = 1,638,572 : x
  2. Step 2: Convert to fraction form
    753,846/1,638,572 = 1,638,572/x
  3. Step 3: Cross multiply
    753,846x = 1,638,572 × 1,638,572
  4. Step 4: Simplify right side
    753,846x = 2,684,918,199,184
  5. Step 5: Solve for x
    x = 2,684,918,199,184/753,846
  6. Step 6: Final answer
    x = 3,561,626.91

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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.