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Finding the Third Proportional to 1,005,174 and 2,191,078

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Solution

The third proportional to 1,005,174 and 2,191,078 is: 4,776,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,174 : 2,191,078 = 2,191,078 : x
  2. Step 2: Convert to fraction form
    1,005,174/2,191,078 = 2,191,078/x
  3. Step 3: Cross multiply
    1,005,174x = 2,191,078 × 2,191,078
  4. Step 4: Simplify right side
    1,005,174x = 4,800,822,802,084
  5. Step 5: Solve for x
    x = 4,800,822,802,084/1,005,174
  6. Step 6: Final answer
    x = 4,776,111.20

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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.