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Finding the Third Proportional to 594,056 and 919,228

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Solution

The third proportional to 594,056 and 919,228 is: 1,422,391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,056 : 919,228 = 919,228 : x
  2. Step 2: Convert to fraction form
    594,056/919,228 = 919,228/x
  3. Step 3: Cross multiply
    594,056x = 919,228 × 919,228
  4. Step 4: Simplify right side
    594,056x = 844,980,115,984
  5. Step 5: Solve for x
    x = 844,980,115,984/594,056
  6. Step 6: Final answer
    x = 1,422,391.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.