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Finding the Third Proportional to 985,014 and 1,415,313

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Solution

The third proportional to 985,014 and 1,415,313 is: 2,033,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,014 : 1,415,313 = 1,415,313 : x
  2. Step 2: Convert to fraction form
    985,014/1,415,313 = 1,415,313/x
  3. Step 3: Cross multiply
    985,014x = 1,415,313 × 1,415,313
  4. Step 4: Simplify right side
    985,014x = 2,003,110,887,969
  5. Step 5: Solve for x
    x = 2,003,110,887,969/985,014
  6. Step 6: Final answer
    x = 2,033,586.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.