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Finding the Third Proportional to 426,153 and 946,899

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Solution

The third proportional to 426,153 and 946,899 is: 2,103,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,153 : 946,899 = 946,899 : x
  2. Step 2: Convert to fraction form
    426,153/946,899 = 946,899/x
  3. Step 3: Cross multiply
    426,153x = 946,899 × 946,899
  4. Step 4: Simplify right side
    426,153x = 896,617,716,201
  5. Step 5: Solve for x
    x = 896,617,716,201/426,153
  6. Step 6: Final answer
    x = 2,103,980.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.