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Finding the Third Proportional to 423,168 and 922,304

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Solution

The third proportional to 423,168 and 922,304 is: 2,010,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,168 : 922,304 = 922,304 : x
  2. Step 2: Convert to fraction form
    423,168/922,304 = 922,304/x
  3. Step 3: Cross multiply
    423,168x = 922,304 × 922,304
  4. Step 4: Simplify right side
    423,168x = 850,644,668,416
  5. Step 5: Solve for x
    x = 850,644,668,416/423,168
  6. Step 6: Final answer
    x = 2,010,181.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.