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Finding the Third Proportional to 652,468 and 1,432,595

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Solution

The third proportional to 652,468 and 1,432,595 is: 3,145,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,468 : 1,432,595 = 1,432,595 : x
  2. Step 2: Convert to fraction form
    652,468/1,432,595 = 1,432,595/x
  3. Step 3: Cross multiply
    652,468x = 1,432,595 × 1,432,595
  4. Step 4: Simplify right side
    652,468x = 2,052,328,434,025
  5. Step 5: Solve for x
    x = 2,052,328,434,025/652,468
  6. Step 6: Final answer
    x = 3,145,485.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.