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Finding the Third Proportional to 1,920,299.91 and 4,114,501.63

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Solution

The third proportional to 1,920,299.91 and 4,114,501.63 is: 8,815,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920,299.91 : 4,114,501.63 = 4,114,501.63 : x
  2. Step 2: Convert to fraction form
    1,920,299.91/4,114,501.63 = 4,114,501.63/x
  3. Step 3: Cross multiply
    1,920,299.91x = 4,114,501.63 × 4,114,501.63
  4. Step 4: Simplify right side
    1,920,299.91x = 16,929,123,654,271.78
  5. Step 5: Solve for x
    x = 16,929,123,654,271.78/1,920,299.91
  6. Step 6: Final answer
    x = 8,815,874.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.