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Finding the Third Proportional to 649,506 and 971,619

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Solution

The third proportional to 649,506 and 971,619 is: 1,453,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,506 : 971,619 = 971,619 : x
  2. Step 2: Convert to fraction form
    649,506/971,619 = 971,619/x
  3. Step 3: Cross multiply
    649,506x = 971,619 × 971,619
  4. Step 4: Simplify right side
    649,506x = 944,043,481,161
  5. Step 5: Solve for x
    x = 944,043,481,161/649,506
  6. Step 6: Final answer
    x = 1,453,479.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.