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Finding the Third Proportional to 966,507 and 2,072,982

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Solution

The third proportional to 966,507 and 2,072,982 is: 4,446,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,507 : 2,072,982 = 2,072,982 : x
  2. Step 2: Convert to fraction form
    966,507/2,072,982 = 2,072,982/x
  3. Step 3: Cross multiply
    966,507x = 2,072,982 × 2,072,982
  4. Step 4: Simplify right side
    966,507x = 4,297,254,372,324
  5. Step 5: Solve for x
    x = 4,297,254,372,324/966,507
  6. Step 6: Final answer
    x = 4,446,169.94

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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.