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Finding the Third Proportional to 646,548 and 1,405,011

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Solution

The third proportional to 646,548 and 1,405,011 is: 3,053,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,548 : 1,405,011 = 1,405,011 : x
  2. Step 2: Convert to fraction form
    646,548/1,405,011 = 1,405,011/x
  3. Step 3: Cross multiply
    646,548x = 1,405,011 × 1,405,011
  4. Step 4: Simplify right side
    646,548x = 1,974,055,910,121
  5. Step 5: Solve for x
    x = 1,974,055,910,121/646,548
  6. Step 6: Final answer
    x = 3,053,224.06

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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.