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Finding the Third Proportional to 946,006 and 2,068,066

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Solution

The third proportional to 946,006 and 2,068,066 is: 4,521,004.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,006 : 2,068,066 = 2,068,066 : x
  2. Step 2: Convert to fraction form
    946,006/2,068,066 = 2,068,066/x
  3. Step 3: Cross multiply
    946,006x = 2,068,066 × 2,068,066
  4. Step 4: Simplify right side
    946,006x = 4,276,896,980,356
  5. Step 5: Solve for x
    x = 4,276,896,980,356/946,006
  6. Step 6: Final answer
    x = 4,521,004.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.