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Finding the Third Proportional to 520,454 and 1,160,578

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Solution

The third proportional to 520,454 and 1,160,578 is: 2,588,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,454 : 1,160,578 = 1,160,578 : x
  2. Step 2: Convert to fraction form
    520,454/1,160,578 = 1,160,578/x
  3. Step 3: Cross multiply
    520,454x = 1,160,578 × 1,160,578
  4. Step 4: Simplify right side
    520,454x = 1,346,941,294,084
  5. Step 5: Solve for x
    x = 1,346,941,294,084/520,454
  6. Step 6: Final answer
    x = 2,588,012.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.