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Finding the Third Proportional to 1,214,768 and 2,901,299

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Solution

The third proportional to 1,214,768 and 2,901,299 is: 6,929,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,768 : 2,901,299 = 2,901,299 : x
  2. Step 2: Convert to fraction form
    1,214,768/2,901,299 = 2,901,299/x
  3. Step 3: Cross multiply
    1,214,768x = 2,901,299 × 2,901,299
  4. Step 4: Simplify right side
    1,214,768x = 8,417,535,887,401
  5. Step 5: Solve for x
    x = 8,417,535,887,401/1,214,768
  6. Step 6: Final answer
    x = 6,929,336.21

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.