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Finding the Third Proportional to 501,561 and 1,081,854

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Solution

The third proportional to 501,561 and 1,081,854 is: 2,333,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,561 : 1,081,854 = 1,081,854 : x
  2. Step 2: Convert to fraction form
    501,561/1,081,854 = 1,081,854/x
  3. Step 3: Cross multiply
    501,561x = 1,081,854 × 1,081,854
  4. Step 4: Simplify right side
    501,561x = 1,170,408,077,316
  5. Step 5: Solve for x
    x = 1,170,408,077,316/501,561
  6. Step 6: Final answer
    x = 2,333,530.87

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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.