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Finding the Third Proportional to 966,506 and 2,072,980

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Solution

The third proportional to 966,506 and 2,072,980 is: 4,446,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,506 : 2,072,980 = 2,072,980 : x
  2. Step 2: Convert to fraction form
    966,506/2,072,980 = 2,072,980/x
  3. Step 3: Cross multiply
    966,506x = 2,072,980 × 2,072,980
  4. Step 4: Simplify right side
    966,506x = 4,297,246,080,400
  5. Step 5: Solve for x
    x = 4,297,246,080,400/966,506
  6. Step 6: Final answer
    x = 4,446,165.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.