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Finding the Third Proportional to 536,467 and 1,165,202

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Solution

The third proportional to 536,467 and 1,165,202 is: 2,530,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,467 : 1,165,202 = 1,165,202 : x
  2. Step 2: Convert to fraction form
    536,467/1,165,202 = 1,165,202/x
  3. Step 3: Cross multiply
    536,467x = 1,165,202 × 1,165,202
  4. Step 4: Simplify right side
    536,467x = 1,357,695,700,804
  5. Step 5: Solve for x
    x = 1,357,695,700,804/536,467
  6. Step 6: Final answer
    x = 2,530,809.35

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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.