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Finding the Third Proportional to 595,522 and 922,356

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Solution

The third proportional to 595,522 and 922,356 is: 1,428,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,522 : 922,356 = 922,356 : x
  2. Step 2: Convert to fraction form
    595,522/922,356 = 922,356/x
  3. Step 3: Cross multiply
    595,522x = 922,356 × 922,356
  4. Step 4: Simplify right side
    595,522x = 850,740,590,736
  5. Step 5: Solve for x
    x = 850,740,590,736/595,522
  6. Step 6: Final answer
    x = 1,428,562.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.