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Finding the Third Proportional to 658,014 and 1,415,844

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Solution

The third proportional to 658,014 and 1,415,844 is: 3,046,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,014 : 1,415,844 = 1,415,844 : x
  2. Step 2: Convert to fraction form
    658,014/1,415,844 = 1,415,844/x
  3. Step 3: Cross multiply
    658,014x = 1,415,844 × 1,415,844
  4. Step 4: Simplify right side
    658,014x = 2,004,614,232,336
  5. Step 5: Solve for x
    x = 2,004,614,232,336/658,014
  6. Step 6: Final answer
    x = 3,046,461.37

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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.