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Finding the Third Proportional to 1,723,948 and 2,728,446

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Solution

The third proportional to 1,723,948 and 2,728,446 is: 4,318,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723,948 : 2,728,446 = 2,728,446 : x
  2. Step 2: Convert to fraction form
    1,723,948/2,728,446 = 2,728,446/x
  3. Step 3: Cross multiply
    1,723,948x = 2,728,446 × 2,728,446
  4. Step 4: Simplify right side
    1,723,948x = 7,444,417,574,916
  5. Step 5: Solve for x
    x = 7,444,417,574,916/1,723,948
  6. Step 6: Final answer
    x = 4,318,237.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.