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Finding the Third Proportional to 1,420,420 and 3,051,656

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Solution

The third proportional to 1,420,420 and 3,051,656 is: 6,556,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,420 : 3,051,656 = 3,051,656 : x
  2. Step 2: Convert to fraction form
    1,420,420/3,051,656 = 3,051,656/x
  3. Step 3: Cross multiply
    1,420,420x = 3,051,656 × 3,051,656
  4. Step 4: Simplify right side
    1,420,420x = 9,312,604,342,336
  5. Step 5: Solve for x
    x = 9,312,604,342,336/1,420,420
  6. Step 6: Final answer
    x = 6,556,232.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.