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Finding the Third Proportional to 961,410 and 2,225,621

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Solution

The third proportional to 961,410 and 2,225,621 is: 5,152,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,410 : 2,225,621 = 2,225,621 : x
  2. Step 2: Convert to fraction form
    961,410/2,225,621 = 2,225,621/x
  3. Step 3: Cross multiply
    961,410x = 2,225,621 × 2,225,621
  4. Step 4: Simplify right side
    961,410x = 4,953,388,835,641
  5. Step 5: Solve for x
    x = 4,953,388,835,641/961,410
  6. Step 6: Final answer
    x = 5,152,212.72

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.