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Finding the Third Proportional to 753,072 and 1,655,409

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Solution

The third proportional to 753,072 and 1,655,409 is: 3,638,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,072 : 1,655,409 = 1,655,409 : x
  2. Step 2: Convert to fraction form
    753,072/1,655,409 = 1,655,409/x
  3. Step 3: Cross multiply
    753,072x = 1,655,409 × 1,655,409
  4. Step 4: Simplify right side
    753,072x = 2,740,378,957,281
  5. Step 5: Solve for x
    x = 2,740,378,957,281/753,072
  6. Step 6: Final answer
    x = 3,638,933.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.