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Finding the Third Proportional to 910,072 and 1,977,612

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Solution

The third proportional to 910,072 and 1,977,612 is: 4,297,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,072 : 1,977,612 = 1,977,612 : x
  2. Step 2: Convert to fraction form
    910,072/1,977,612 = 1,977,612/x
  3. Step 3: Cross multiply
    910,072x = 1,977,612 × 1,977,612
  4. Step 4: Simplify right side
    910,072x = 3,910,949,222,544
  5. Step 5: Solve for x
    x = 3,910,949,222,544/910,072
  6. Step 6: Final answer
    x = 4,297,406.38

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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.