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Finding the Third Proportional to 621,270 and 1,358,854

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Solution

The third proportional to 621,270 and 1,358,854 is: 2,972,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,270 : 1,358,854 = 1,358,854 : x
  2. Step 2: Convert to fraction form
    621,270/1,358,854 = 1,358,854/x
  3. Step 3: Cross multiply
    621,270x = 1,358,854 × 1,358,854
  4. Step 4: Simplify right side
    621,270x = 1,846,484,193,316
  5. Step 5: Solve for x
    x = 1,846,484,193,316/621,270
  6. Step 6: Final answer
    x = 2,972,112.28

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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.