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Finding the Third Proportional to 2,173,640 and 4,767,184

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Solution

The third proportional to 2,173,640 and 4,767,184 is: 10,455,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173,640 : 4,767,184 = 4,767,184 : x
  2. Step 2: Convert to fraction form
    2,173,640/4,767,184 = 4,767,184/x
  3. Step 3: Cross multiply
    2,173,640x = 4,767,184 × 4,767,184
  4. Step 4: Simplify right side
    2,173,640x = 22,726,043,289,856
  5. Step 5: Solve for x
    x = 22,726,043,289,856/2,173,640
  6. Step 6: Final answer
    x = 10,455,293.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.