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Finding the Third Proportional to 594,120 and 894,017

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Solution

The third proportional to 594,120 and 894,017 is: 1,345,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,120 : 894,017 = 894,017 : x
  2. Step 2: Convert to fraction form
    594,120/894,017 = 894,017/x
  3. Step 3: Cross multiply
    594,120x = 894,017 × 894,017
  4. Step 4: Simplify right side
    594,120x = 799,266,396,289
  5. Step 5: Solve for x
    x = 799,266,396,289/594,120
  6. Step 6: Final answer
    x = 1,345,294.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.