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Finding the Third Proportional to 665,822 and 1,043,357

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Solution

The third proportional to 665,822 and 1,043,357 is: 1,634,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,822 : 1,043,357 = 1,043,357 : x
  2. Step 2: Convert to fraction form
    665,822/1,043,357 = 1,043,357/x
  3. Step 3: Cross multiply
    665,822x = 1,043,357 × 1,043,357
  4. Step 4: Simplify right side
    665,822x = 1,088,593,829,449
  5. Step 5: Solve for x
    x = 1,088,593,829,449/665,822
  6. Step 6: Final answer
    x = 1,634,962.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.