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Finding the Third Proportional to 417,512 and 930,646

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Solution

The third proportional to 417,512 and 930,646 is: 2,074,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,512 : 930,646 = 930,646 : x
  2. Step 2: Convert to fraction form
    417,512/930,646 = 930,646/x
  3. Step 3: Cross multiply
    417,512x = 930,646 × 930,646
  4. Step 4: Simplify right side
    417,512x = 866,101,977,316
  5. Step 5: Solve for x
    x = 866,101,977,316/417,512
  6. Step 6: Final answer
    x = 2,074,436.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.