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Finding the Third Proportional to 536,480 and 1,160,077

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Solution

The third proportional to 536,480 and 1,160,077 is: 2,508,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,480 : 1,160,077 = 1,160,077 : x
  2. Step 2: Convert to fraction form
    536,480/1,160,077 = 1,160,077/x
  3. Step 3: Cross multiply
    536,480x = 1,160,077 × 1,160,077
  4. Step 4: Simplify right side
    536,480x = 1,345,778,645,929
  5. Step 5: Solve for x
    x = 1,345,778,645,929/536,480
  6. Step 6: Final answer
    x = 2,508,534.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.