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Finding the Third Proportional to 521,570 and 1,100,117

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Solution

The third proportional to 521,570 and 1,100,117 is: 2,320,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,570 : 1,100,117 = 1,100,117 : x
  2. Step 2: Convert to fraction form
    521,570/1,100,117 = 1,100,117/x
  3. Step 3: Cross multiply
    521,570x = 1,100,117 × 1,100,117
  4. Step 4: Simplify right side
    521,570x = 1,210,257,413,689
  5. Step 5: Solve for x
    x = 1,210,257,413,689/521,570
  6. Step 6: Final answer
    x = 2,320,412.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.