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Finding the Third Proportional to 2,853,802 and 4,178,319

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Solution

The third proportional to 2,853,802 and 4,178,319 is: 6,117,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,802 : 4,178,319 = 4,178,319 : x
  2. Step 2: Convert to fraction form
    2,853,802/4,178,319 = 4,178,319/x
  3. Step 3: Cross multiply
    2,853,802x = 4,178,319 × 4,178,319
  4. Step 4: Simplify right side
    2,853,802x = 17,458,349,665,761
  5. Step 5: Solve for x
    x = 17,458,349,665,761/2,853,802
  6. Step 6: Final answer
    x = 6,117,575.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.