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Finding the Third Proportional to 672,212 and 1,041,368

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Solution

The third proportional to 672,212 and 1,041,368 is: 1,613,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,212 : 1,041,368 = 1,041,368 : x
  2. Step 2: Convert to fraction form
    672,212/1,041,368 = 1,041,368/x
  3. Step 3: Cross multiply
    672,212x = 1,041,368 × 1,041,368
  4. Step 4: Simplify right side
    672,212x = 1,084,447,311,424
  5. Step 5: Solve for x
    x = 1,084,447,311,424/672,212
  6. Step 6: Final answer
    x = 1,613,251.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.