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Finding the Third Proportional to 409,386 and 885,354

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Solution

The third proportional to 409,386 and 885,354 is: 1,914,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,386 : 885,354 = 885,354 : x
  2. Step 2: Convert to fraction form
    409,386/885,354 = 885,354/x
  3. Step 3: Cross multiply
    409,386x = 885,354 × 885,354
  4. Step 4: Simplify right side
    409,386x = 783,851,705,316
  5. Step 5: Solve for x
    x = 783,851,705,316/409,386
  6. Step 6: Final answer
    x = 1,914,700.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.