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Finding the Third Proportional to 1,079,584.50 and 1,613,430

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Solution

The third proportional to 1,079,584.50 and 1,613,430 is: 2,411,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079,584.50 : 1,613,430 = 1,613,430 : x
  2. Step 2: Convert to fraction form
    1,079,584.50/1,613,430 = 1,613,430/x
  3. Step 3: Cross multiply
    1,079,584.50x = 1,613,430 × 1,613,430
  4. Step 4: Simplify right side
    1,079,584.50x = 2,603,156,364,900
  5. Step 5: Solve for x
    x = 2,603,156,364,900/1,079,584.50
  6. Step 6: Final answer
    x = 2,411,257.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.