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Finding the Third Proportional to 625,977 and 1,351,746

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Solution

The third proportional to 625,977 and 1,351,746 is: 2,918,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,977 : 1,351,746 = 1,351,746 : x
  2. Step 2: Convert to fraction form
    625,977/1,351,746 = 1,351,746/x
  3. Step 3: Cross multiply
    625,977x = 1,351,746 × 1,351,746
  4. Step 4: Simplify right side
    625,977x = 1,827,217,248,516
  5. Step 5: Solve for x
    x = 1,827,217,248,516/625,977
  6. Step 6: Final answer
    x = 2,918,984.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.