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Finding the Third Proportional to 912,174 and 1,415,889

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Solution

The third proportional to 912,174 and 1,415,889 is: 2,197,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,174 : 1,415,889 = 1,415,889 : x
  2. Step 2: Convert to fraction form
    912,174/1,415,889 = 1,415,889/x
  3. Step 3: Cross multiply
    912,174x = 1,415,889 × 1,415,889
  4. Step 4: Simplify right side
    912,174x = 2,004,741,660,321
  5. Step 5: Solve for x
    x = 2,004,741,660,321/912,174
  6. Step 6: Final answer
    x = 2,197,762.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.