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Finding the Third Proportional to 417,513 and 930,648

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Solution

The third proportional to 417,513 and 930,648 is: 2,074,440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,513 : 930,648 = 930,648 : x
  2. Step 2: Convert to fraction form
    417,513/930,648 = 930,648/x
  3. Step 3: Cross multiply
    417,513x = 930,648 × 930,648
  4. Step 4: Simplify right side
    417,513x = 866,105,699,904
  5. Step 5: Solve for x
    x = 866,105,699,904/417,513
  6. Step 6: Final answer
    x = 2,074,440.08

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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.