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Finding the Third Proportional to 1,931,961 and 4,195,854

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Solution

The third proportional to 1,931,961 and 4,195,854 is: 9,112,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,961 : 4,195,854 = 4,195,854 : x
  2. Step 2: Convert to fraction form
    1,931,961/4,195,854 = 4,195,854/x
  3. Step 3: Cross multiply
    1,931,961x = 4,195,854 × 4,195,854
  4. Step 4: Simplify right side
    1,931,961x = 17,605,190,789,316
  5. Step 5: Solve for x
    x = 17,605,190,789,316/1,931,961
  6. Step 6: Final answer
    x = 9,112,601.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.