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Finding the Third Proportional to 448,020 and 967,356

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Solution

The third proportional to 448,020 and 967,356 is: 2,088,696.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,020 : 967,356 = 967,356 : x
  2. Step 2: Convert to fraction form
    448,020/967,356 = 967,356/x
  3. Step 3: Cross multiply
    448,020x = 967,356 × 967,356
  4. Step 4: Simplify right side
    448,020x = 935,777,630,736
  5. Step 5: Solve for x
    x = 935,777,630,736/448,020
  6. Step 6: Final answer
    x = 2,088,696.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.