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Finding the Third Proportional to 459,822 and 709,415

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Solution

The third proportional to 459,822 and 709,415 is: 1,094,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,822 : 709,415 = 709,415 : x
  2. Step 2: Convert to fraction form
    459,822/709,415 = 709,415/x
  3. Step 3: Cross multiply
    459,822x = 709,415 × 709,415
  4. Step 4: Simplify right side
    459,822x = 503,269,642,225
  5. Step 5: Solve for x
    x = 503,269,642,225/459,822
  6. Step 6: Final answer
    x = 1,094,487.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.