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Finding the Third Proportional to 966,046 and 2,123,324

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Solution

The third proportional to 966,046 and 2,123,324 is: 4,666,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,046 : 2,123,324 = 2,123,324 : x
  2. Step 2: Convert to fraction form
    966,046/2,123,324 = 2,123,324/x
  3. Step 3: Cross multiply
    966,046x = 2,123,324 × 2,123,324
  4. Step 4: Simplify right side
    966,046x = 4,508,504,808,976
  5. Step 5: Solve for x
    x = 4,508,504,808,976/966,046
  6. Step 6: Final answer
    x = 4,666,967.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.