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Finding the Third Proportional to 513,951 and 1,104,447

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Solution

The third proportional to 513,951 and 1,104,447 is: 2,373,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,951 : 1,104,447 = 1,104,447 : x
  2. Step 2: Convert to fraction form
    513,951/1,104,447 = 1,104,447/x
  3. Step 3: Cross multiply
    513,951x = 1,104,447 × 1,104,447
  4. Step 4: Simplify right side
    513,951x = 1,219,803,175,809
  5. Step 5: Solve for x
    x = 1,219,803,175,809/513,951
  6. Step 6: Final answer
    x = 2,373,384.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.