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Finding the Third Proportional to 539,465 and 1,180,522

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Solution

The third proportional to 539,465 and 1,180,522 is: 2,583,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,465 : 1,180,522 = 1,180,522 : x
  2. Step 2: Convert to fraction form
    539,465/1,180,522 = 1,180,522/x
  3. Step 3: Cross multiply
    539,465x = 1,180,522 × 1,180,522
  4. Step 4: Simplify right side
    539,465x = 1,393,632,192,484
  5. Step 5: Solve for x
    x = 1,393,632,192,484/539,465
  6. Step 6: Final answer
    x = 2,583,359.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.