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Finding the Third Proportional to 455,490 and 967,020

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Solution

The third proportional to 455,490 and 967,020 is: 2,053,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,490 : 967,020 = 967,020 : x
  2. Step 2: Convert to fraction form
    455,490/967,020 = 967,020/x
  3. Step 3: Cross multiply
    455,490x = 967,020 × 967,020
  4. Step 4: Simplify right side
    455,490x = 935,127,680,400
  5. Step 5: Solve for x
    x = 935,127,680,400/455,490
  6. Step 6: Final answer
    x = 2,053,014.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.