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Finding the Third Proportional to 646,546.50 and 1,405,008

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Solution

The third proportional to 646,546.50 and 1,405,008 is: 3,053,218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,546.50 : 1,405,008 = 1,405,008 : x
  2. Step 2: Convert to fraction form
    646,546.50/1,405,008 = 1,405,008/x
  3. Step 3: Cross multiply
    646,546.50x = 1,405,008 × 1,405,008
  4. Step 4: Simplify right side
    646,546.50x = 1,974,047,480,064
  5. Step 5: Solve for x
    x = 1,974,047,480,064/646,546.50
  6. Step 6: Final answer
    x = 3,053,218.11

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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.