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Finding the Third Proportional to 576,426 and 920,853

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Solution

The third proportional to 576,426 and 920,853 is: 1,471,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,426 : 920,853 = 920,853 : x
  2. Step 2: Convert to fraction form
    576,426/920,853 = 920,853/x
  3. Step 3: Cross multiply
    576,426x = 920,853 × 920,853
  4. Step 4: Simplify right side
    576,426x = 847,970,247,609
  5. Step 5: Solve for x
    x = 847,970,247,609/576,426
  6. Step 6: Final answer
    x = 1,471,082.58

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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.