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Finding the Third Proportional to 4,521,324 and 6,828,066

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Solution

The third proportional to 4,521,324 and 6,828,066 is: 10,311,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,521,324 : 6,828,066 = 6,828,066 : x
  2. Step 2: Convert to fraction form
    4,521,324/6,828,066 = 6,828,066/x
  3. Step 3: Cross multiply
    4,521,324x = 6,828,066 × 6,828,066
  4. Step 4: Simplify right side
    4,521,324x = 46,622,485,300,356
  5. Step 5: Solve for x
    x = 46,622,485,300,356/4,521,324
  6. Step 6: Final answer
    x = 10,311,688.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.