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Finding the Third Proportional to 822,031.03 and 1,229,705.30

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Solution

The third proportional to 822,031.03 and 1,229,705.30 is: 1,839,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,031.03 : 1,229,705.30 = 1,229,705.30 : x
  2. Step 2: Convert to fraction form
    822,031.03/1,229,705.30 = 1,229,705.30/x
  3. Step 3: Cross multiply
    822,031.03x = 1,229,705.30 × 1,229,705.30
  4. Step 4: Simplify right side
    822,031.03x = 1,512,175,117,162.43
  5. Step 5: Solve for x
    x = 1,512,175,117,162.43/822,031.03
  6. Step 6: Final answer
    x = 1,839,559.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.