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Finding the Third Proportional to 2,047,585 and 4,455,296

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Solution

The third proportional to 2,047,585 and 4,455,296 is: 9,694,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,585 : 4,455,296 = 4,455,296 : x
  2. Step 2: Convert to fraction form
    2,047,585/4,455,296 = 4,455,296/x
  3. Step 3: Cross multiply
    2,047,585x = 4,455,296 × 4,455,296
  4. Step 4: Simplify right side
    2,047,585x = 19,849,662,447,616
  5. Step 5: Solve for x
    x = 19,849,662,447,616/2,047,585
  6. Step 6: Final answer
    x = 9,694,182.39

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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.