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Finding the Third Proportional to 469,326 and 960,522

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Solution

The third proportional to 469,326 and 960,522 is: 1,965,803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,326 : 960,522 = 960,522 : x
  2. Step 2: Convert to fraction form
    469,326/960,522 = 960,522/x
  3. Step 3: Cross multiply
    469,326x = 960,522 × 960,522
  4. Step 4: Simplify right side
    469,326x = 922,602,512,484
  5. Step 5: Solve for x
    x = 922,602,512,484/469,326
  6. Step 6: Final answer
    x = 1,965,803.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.