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Finding the Third Proportional to 576,416 and 920,838

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Solution

The third proportional to 576,416 and 920,838 is: 1,471,060.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,416 : 920,838 = 920,838 : x
  2. Step 2: Convert to fraction form
    576,416/920,838 = 920,838/x
  3. Step 3: Cross multiply
    576,416x = 920,838 × 920,838
  4. Step 4: Simplify right side
    576,416x = 847,942,622,244
  5. Step 5: Solve for x
    x = 847,942,622,244/576,416
  6. Step 6: Final answer
    x = 1,471,060.18

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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.