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Finding the Third Proportional to 374,132 and 826,972

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Solution

The third proportional to 374,132 and 826,972 is: 1,827,918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,132 : 826,972 = 826,972 : x
  2. Step 2: Convert to fraction form
    374,132/826,972 = 826,972/x
  3. Step 3: Cross multiply
    374,132x = 826,972 × 826,972
  4. Step 4: Simplify right side
    374,132x = 683,882,688,784
  5. Step 5: Solve for x
    x = 683,882,688,784/374,132
  6. Step 6: Final answer
    x = 1,827,918.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.