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Finding the Third Proportional to 2,704,644 and 4,201,307.16

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Solution

The third proportional to 2,704,644 and 4,201,307.16 is: 6,526,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704,644 : 4,201,307.16 = 4,201,307.16 : x
  2. Step 2: Convert to fraction form
    2,704,644/4,201,307.16 = 4,201,307.16/x
  3. Step 3: Cross multiply
    2,704,644x = 4,201,307.16 × 4,201,307.16
  4. Step 4: Simplify right side
    2,704,644x = 17,650,981,821,157.46
  5. Step 5: Solve for x
    x = 17,650,981,821,157.46/2,704,644
  6. Step 6: Final answer
    x = 6,526,175.65

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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.