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Finding the Third Proportional to 898,315 and 1,946,170

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Solution

The third proportional to 898,315 and 1,946,170 is: 4,216,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,315 : 1,946,170 = 1,946,170 : x
  2. Step 2: Convert to fraction form
    898,315/1,946,170 = 1,946,170/x
  3. Step 3: Cross multiply
    898,315x = 1,946,170 × 1,946,170
  4. Step 4: Simplify right side
    898,315x = 3,787,577,668,900
  5. Step 5: Solve for x
    x = 3,787,577,668,900/898,315
  6. Step 6: Final answer
    x = 4,216,313.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.