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Finding the Third Proportional to 1,865,470 and 4,078,916

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Solution

The third proportional to 1,865,470 and 4,078,916 is: 8,918,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,470 : 4,078,916 = 4,078,916 : x
  2. Step 2: Convert to fraction form
    1,865,470/4,078,916 = 4,078,916/x
  3. Step 3: Cross multiply
    1,865,470x = 4,078,916 × 4,078,916
  4. Step 4: Simplify right side
    1,865,470x = 16,637,555,735,056
  5. Step 5: Solve for x
    x = 16,637,555,735,056/1,865,470
  6. Step 6: Final answer
    x = 8,918,693.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.