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Finding the Third Proportional to 579,820 and 922,434

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Solution

The third proportional to 579,820 and 922,434 is: 1,467,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,820 : 922,434 = 922,434 : x
  2. Step 2: Convert to fraction form
    579,820/922,434 = 922,434/x
  3. Step 3: Cross multiply
    579,820x = 922,434 × 922,434
  4. Step 4: Simplify right side
    579,820x = 850,884,484,356
  5. Step 5: Solve for x
    x = 850,884,484,356/579,820
  6. Step 6: Final answer
    x = 1,467,497.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.