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Finding the Third Proportional to 925,774 and 1,442,788

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Solution

The third proportional to 925,774 and 1,442,788 is: 2,248,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,774 : 1,442,788 = 1,442,788 : x
  2. Step 2: Convert to fraction form
    925,774/1,442,788 = 1,442,788/x
  3. Step 3: Cross multiply
    925,774x = 1,442,788 × 1,442,788
  4. Step 4: Simplify right side
    925,774x = 2,081,637,212,944
  5. Step 5: Solve for x
    x = 2,081,637,212,944/925,774
  6. Step 6: Final answer
    x = 2,248,537.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.