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Finding the Third Proportional to 670,545 and 1,454,622

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Solution

The third proportional to 670,545 and 1,454,622 is: 3,155,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,545 : 1,454,622 = 1,454,622 : x
  2. Step 2: Convert to fraction form
    670,545/1,454,622 = 1,454,622/x
  3. Step 3: Cross multiply
    670,545x = 1,454,622 × 1,454,622
  4. Step 4: Simplify right side
    670,545x = 2,115,925,162,884
  5. Step 5: Solve for x
    x = 2,115,925,162,884/670,545
  6. Step 6: Final answer
    x = 3,155,530.45

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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.