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Finding the Third Proportional to 539,184 and 845,748

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Solution

The third proportional to 539,184 and 845,748 is: 1,326,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,184 : 845,748 = 845,748 : x
  2. Step 2: Convert to fraction form
    539,184/845,748 = 845,748/x
  3. Step 3: Cross multiply
    539,184x = 845,748 × 845,748
  4. Step 4: Simplify right side
    539,184x = 715,289,679,504
  5. Step 5: Solve for x
    x = 715,289,679,504/539,184
  6. Step 6: Final answer
    x = 1,326,615.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.