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Finding the Third Proportional to 646,575.47 and 1,405,072.69

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Solution

The third proportional to 646,575.47 and 1,405,072.69 is: 3,053,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,575.47 : 1,405,072.69 = 1,405,072.69 : x
  2. Step 2: Convert to fraction form
    646,575.47/1,405,072.69 = 1,405,072.69/x
  3. Step 3: Cross multiply
    646,575.47x = 1,405,072.69 × 1,405,072.69
  4. Step 4: Simplify right side
    646,575.47x = 1,974,229,257,158.47
  5. Step 5: Solve for x
    x = 1,974,229,257,158.47/646,575.47
  6. Step 6: Final answer
    x = 3,053,362.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.