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Finding the Third Proportional to 536,432 and 1,159,979

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Solution

The third proportional to 536,432 and 1,159,979 is: 2,508,335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,432 : 1,159,979 = 1,159,979 : x
  2. Step 2: Convert to fraction form
    536,432/1,159,979 = 1,159,979/x
  3. Step 3: Cross multiply
    536,432x = 1,159,979 × 1,159,979
  4. Step 4: Simplify right side
    536,432x = 1,345,551,280,441
  5. Step 5: Solve for x
    x = 1,345,551,280,441/536,432
  6. Step 6: Final answer
    x = 2,508,335.22

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Why These Related Problems?

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