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Finding the Third Proportional to 2,051,536 and 4,464,283

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Solution

The third proportional to 2,051,536 and 4,464,283 is: 9,714,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,536 : 4,464,283 = 4,464,283 : x
  2. Step 2: Convert to fraction form
    2,051,536/4,464,283 = 4,464,283/x
  3. Step 3: Cross multiply
    2,051,536x = 4,464,283 × 4,464,283
  4. Step 4: Simplify right side
    2,051,536x = 19,929,822,704,089
  5. Step 5: Solve for x
    x = 19,929,822,704,089/2,051,536
  6. Step 6: Final answer
    x = 9,714,585.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.