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Finding the Third Proportional to 822,701 and 1,255,922

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Solution

The third proportional to 822,701 and 1,255,922 is: 1,917,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,701 : 1,255,922 = 1,255,922 : x
  2. Step 2: Convert to fraction form
    822,701/1,255,922 = 1,255,922/x
  3. Step 3: Cross multiply
    822,701x = 1,255,922 × 1,255,922
  4. Step 4: Simplify right side
    822,701x = 1,577,340,070,084
  5. Step 5: Solve for x
    x = 1,577,340,070,084/822,701
  6. Step 6: Final answer
    x = 1,917,270.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.