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Finding the Third Proportional to 686,391 and 1,478,889

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Solution

The third proportional to 686,391 and 1,478,889 is: 3,186,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,391 : 1,478,889 = 1,478,889 : x
  2. Step 2: Convert to fraction form
    686,391/1,478,889 = 1,478,889/x
  3. Step 3: Cross multiply
    686,391x = 1,478,889 × 1,478,889
  4. Step 4: Simplify right side
    686,391x = 2,187,112,674,321
  5. Step 5: Solve for x
    x = 2,187,112,674,321/686,391
  6. Step 6: Final answer
    x = 3,186,394.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.