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Finding the Third Proportional to 594,016 and 920,616

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Solution

The third proportional to 594,016 and 920,616 is: 1,426,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,016 : 920,616 = 920,616 : x
  2. Step 2: Convert to fraction form
    594,016/920,616 = 920,616/x
  3. Step 3: Cross multiply
    594,016x = 920,616 × 920,616
  4. Step 4: Simplify right side
    594,016x = 847,533,819,456
  5. Step 5: Solve for x
    x = 847,533,819,456/594,016
  6. Step 6: Final answer
    x = 1,426,786.18

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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.