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Finding the Third Proportional to 387,404 and 843,428

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Solution

The third proportional to 387,404 and 843,428 is: 1,836,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,404 : 843,428 = 843,428 : x
  2. Step 2: Convert to fraction form
    387,404/843,428 = 843,428/x
  3. Step 3: Cross multiply
    387,404x = 843,428 × 843,428
  4. Step 4: Simplify right side
    387,404x = 711,370,791,184
  5. Step 5: Solve for x
    x = 711,370,791,184/387,404
  6. Step 6: Final answer
    x = 1,836,250.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.