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Finding the Third Proportional to 553,676 and 1,207,406

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Solution

The third proportional to 553,676 and 1,207,406 is: 2,633,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,676 : 1,207,406 = 1,207,406 : x
  2. Step 2: Convert to fraction form
    553,676/1,207,406 = 1,207,406/x
  3. Step 3: Cross multiply
    553,676x = 1,207,406 × 1,207,406
  4. Step 4: Simplify right side
    553,676x = 1,457,829,248,836
  5. Step 5: Solve for x
    x = 1,457,829,248,836/553,676
  6. Step 6: Final answer
    x = 2,633,000.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.