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Finding the Third Proportional to 802,900 and 1,211,154

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Solution

The third proportional to 802,900 and 1,211,154 is: 1,826,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,900 : 1,211,154 = 1,211,154 : x
  2. Step 2: Convert to fraction form
    802,900/1,211,154 = 1,211,154/x
  3. Step 3: Cross multiply
    802,900x = 1,211,154 × 1,211,154
  4. Step 4: Simplify right side
    802,900x = 1,466,894,011,716
  5. Step 5: Solve for x
    x = 1,466,894,011,716/802,900
  6. Step 6: Final answer
    x = 1,826,994.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.