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Finding the Third Proportional to 1,446,948 and 2,933,316

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Solution

The third proportional to 1,446,948 and 2,933,316 is: 5,946,545.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446,948 : 2,933,316 = 2,933,316 : x
  2. Step 2: Convert to fraction form
    1,446,948/2,933,316 = 2,933,316/x
  3. Step 3: Cross multiply
    1,446,948x = 2,933,316 × 2,933,316
  4. Step 4: Simplify right side
    1,446,948x = 8,604,342,755,856
  5. Step 5: Solve for x
    x = 8,604,342,755,856/1,446,948
  6. Step 6: Final answer
    x = 5,946,545.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.