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Finding the Third Proportional to 417,518 and 930,658

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Solution

The third proportional to 417,518 and 930,658 is: 2,074,459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,518 : 930,658 = 930,658 : x
  2. Step 2: Convert to fraction form
    417,518/930,658 = 930,658/x
  3. Step 3: Cross multiply
    417,518x = 930,658 × 930,658
  4. Step 4: Simplify right side
    417,518x = 866,124,312,964
  5. Step 5: Solve for x
    x = 866,124,312,964/417,518
  6. Step 6: Final answer
    x = 2,074,459.81

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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.