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Finding the Third Proportional to 719,772 and 1,575,138

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Solution

The third proportional to 719,772 and 1,575,138 is: 3,447,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,772 : 1,575,138 = 1,575,138 : x
  2. Step 2: Convert to fraction form
    719,772/1,575,138 = 1,575,138/x
  3. Step 3: Cross multiply
    719,772x = 1,575,138 × 1,575,138
  4. Step 4: Simplify right side
    719,772x = 2,481,059,719,044
  5. Step 5: Solve for x
    x = 2,481,059,719,044/719,772
  6. Step 6: Final answer
    x = 3,447,007.83

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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.