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Finding the Third Proportional to 646,552 and 1,405,019

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Solution

The third proportional to 646,552 and 1,405,019 is: 3,053,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,552 : 1,405,019 = 1,405,019 : x
  2. Step 2: Convert to fraction form
    646,552/1,405,019 = 1,405,019/x
  3. Step 3: Cross multiply
    646,552x = 1,405,019 × 1,405,019
  4. Step 4: Simplify right side
    646,552x = 1,974,078,390,361
  5. Step 5: Solve for x
    x = 1,974,078,390,361/646,552
  6. Step 6: Final answer
    x = 3,053,239.94

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