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Finding the Third Proportional to 985,896 and 1,587,270

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Solution

The third proportional to 985,896 and 1,587,270 is: 2,555,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,896 : 1,587,270 = 1,587,270 : x
  2. Step 2: Convert to fraction form
    985,896/1,587,270 = 1,587,270/x
  3. Step 3: Cross multiply
    985,896x = 1,587,270 × 1,587,270
  4. Step 4: Simplify right side
    985,896x = 2,519,426,052,900
  5. Step 5: Solve for x
    x = 2,519,426,052,900/985,896
  6. Step 6: Final answer
    x = 2,555,468.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.