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Finding the Third Proportional to 400,416 and 834,046

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Solution

The third proportional to 400,416 and 834,046 is: 1,737,275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,416 : 834,046 = 834,046 : x
  2. Step 2: Convert to fraction form
    400,416/834,046 = 834,046/x
  3. Step 3: Cross multiply
    400,416x = 834,046 × 834,046
  4. Step 4: Simplify right side
    400,416x = 695,632,730,116
  5. Step 5: Solve for x
    x = 695,632,730,116/400,416
  6. Step 6: Final answer
    x = 1,737,275.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.