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Finding the Third Proportional to 409,528 and 897,789

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Solution

The third proportional to 409,528 and 897,789 is: 1,968,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,528 : 897,789 = 897,789 : x
  2. Step 2: Convert to fraction form
    409,528/897,789 = 897,789/x
  3. Step 3: Cross multiply
    409,528x = 897,789 × 897,789
  4. Step 4: Simplify right side
    409,528x = 806,025,088,521
  5. Step 5: Solve for x
    x = 806,025,088,521/409,528
  6. Step 6: Final answer
    x = 1,968,180.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.