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Finding the Third Proportional to 535,904 and 1,165,024

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Solution

The third proportional to 535,904 and 1,165,024 is: 2,532,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,904 : 1,165,024 = 1,165,024 : x
  2. Step 2: Convert to fraction form
    535,904/1,165,024 = 1,165,024/x
  3. Step 3: Cross multiply
    535,904x = 1,165,024 × 1,165,024
  4. Step 4: Simplify right side
    535,904x = 1,357,280,920,576
  5. Step 5: Solve for x
    x = 1,357,280,920,576/535,904
  6. Step 6: Final answer
    x = 2,532,694.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.