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Finding the Third Proportional to 646,568 and 1,413,520

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Solution

The third proportional to 646,568 and 1,413,520 is: 3,090,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,568 : 1,413,520 = 1,413,520 : x
  2. Step 2: Convert to fraction form
    646,568/1,413,520 = 1,413,520/x
  3. Step 3: Cross multiply
    646,568x = 1,413,520 × 1,413,520
  4. Step 4: Simplify right side
    646,568x = 1,998,038,790,400
  5. Step 5: Solve for x
    x = 1,998,038,790,400/646,568
  6. Step 6: Final answer
    x = 3,090,222.20

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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.