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Finding the Third Proportional to 417,284 and 893,612

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Solution

The third proportional to 417,284 and 893,612 is: 1,913,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,284 : 893,612 = 893,612 : x
  2. Step 2: Convert to fraction form
    417,284/893,612 = 893,612/x
  3. Step 3: Cross multiply
    417,284x = 893,612 × 893,612
  4. Step 4: Simplify right side
    417,284x = 798,542,406,544
  5. Step 5: Solve for x
    x = 798,542,406,544/417,284
  6. Step 6: Final answer
    x = 1,913,666.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.