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Finding the Third Proportional to 426,431 and 883,054

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Solution

The third proportional to 426,431 and 883,054 is: 1,828,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,431 : 883,054 = 883,054 : x
  2. Step 2: Convert to fraction form
    426,431/883,054 = 883,054/x
  3. Step 3: Cross multiply
    426,431x = 883,054 × 883,054
  4. Step 4: Simplify right side
    426,431x = 779,784,366,916
  5. Step 5: Solve for x
    x = 779,784,366,916/426,431
  6. Step 6: Final answer
    x = 1,828,629.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.