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Finding the Third Proportional to 967,609 and 1,525,624

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Solution

The third proportional to 967,609 and 1,525,624 is: 2,405,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,609 : 1,525,624 = 1,525,624 : x
  2. Step 2: Convert to fraction form
    967,609/1,525,624 = 1,525,624/x
  3. Step 3: Cross multiply
    967,609x = 1,525,624 × 1,525,624
  4. Step 4: Simplify right side
    967,609x = 2,327,528,589,376
  5. Step 5: Solve for x
    x = 2,327,528,589,376/967,609
  6. Step 6: Final answer
    x = 2,405,443.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.