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Finding the Third Proportional to 1,577,520 and 3,453,564

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Solution

The third proportional to 1,577,520 and 3,453,564 is: 7,560,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,520 : 3,453,564 = 3,453,564 : x
  2. Step 2: Convert to fraction form
    1,577,520/3,453,564 = 3,453,564/x
  3. Step 3: Cross multiply
    1,577,520x = 3,453,564 × 3,453,564
  4. Step 4: Simplify right side
    1,577,520x = 11,927,104,302,096
  5. Step 5: Solve for x
    x = 11,927,104,302,096/1,577,520
  6. Step 6: Final answer
    x = 7,560,667.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.