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Finding the Third Proportional to 621,254 and 1,358,822

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Solution

The third proportional to 621,254 and 1,358,822 is: 2,972,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,254 : 1,358,822 = 1,358,822 : x
  2. Step 2: Convert to fraction form
    621,254/1,358,822 = 1,358,822/x
  3. Step 3: Cross multiply
    621,254x = 1,358,822 × 1,358,822
  4. Step 4: Simplify right side
    621,254x = 1,846,397,227,684
  5. Step 5: Solve for x
    x = 1,846,397,227,684/621,254
  6. Step 6: Final answer
    x = 2,972,048.84

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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.