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Finding the Third Proportional to 509,190 and 1,097,076

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Solution

The third proportional to 509,190 and 1,097,076 is: 2,363,706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,190 : 1,097,076 = 1,097,076 : x
  2. Step 2: Convert to fraction form
    509,190/1,097,076 = 1,097,076/x
  3. Step 3: Cross multiply
    509,190x = 1,097,076 × 1,097,076
  4. Step 4: Simplify right side
    509,190x = 1,203,575,749,776
  5. Step 5: Solve for x
    x = 1,203,575,749,776/509,190
  6. Step 6: Final answer
    x = 2,363,706.57

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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.