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Finding the Third Proportional to 576,414 and 920,834

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Solution

The third proportional to 576,414 and 920,834 is: 1,471,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,414 : 920,834 = 920,834 : x
  2. Step 2: Convert to fraction form
    576,414/920,834 = 920,834/x
  3. Step 3: Cross multiply
    576,414x = 920,834 × 920,834
  4. Step 4: Simplify right side
    576,414x = 847,935,255,556
  5. Step 5: Solve for x
    x = 847,935,255,556/576,414
  6. Step 6: Final answer
    x = 1,471,052.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.