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Finding the Third Proportional to 747,180 and 1,621,368

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Solution

The third proportional to 747,180 and 1,621,368 is: 3,518,341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,180 : 1,621,368 = 1,621,368 : x
  2. Step 2: Convert to fraction form
    747,180/1,621,368 = 1,621,368/x
  3. Step 3: Cross multiply
    747,180x = 1,621,368 × 1,621,368
  4. Step 4: Simplify right side
    747,180x = 2,628,834,191,424
  5. Step 5: Solve for x
    x = 2,628,834,191,424/747,180
  6. Step 6: Final answer
    x = 3,518,341.22

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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.