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Finding the Third Proportional to 1,425,633 and 2,952,317

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Solution

The third proportional to 1,425,633 and 2,952,317 is: 6,113,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425,633 : 2,952,317 = 2,952,317 : x
  2. Step 2: Convert to fraction form
    1,425,633/2,952,317 = 2,952,317/x
  3. Step 3: Cross multiply
    1,425,633x = 2,952,317 × 2,952,317
  4. Step 4: Simplify right side
    1,425,633x = 8,716,175,668,489
  5. Step 5: Solve for x
    x = 8,716,175,668,489/1,425,633
  6. Step 6: Final answer
    x = 6,113,898.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.