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Finding the Third Proportional to 898,315 and 1,946,169.50

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Solution

The third proportional to 898,315 and 1,946,169.50 is: 4,216,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,315 : 1,946,169.50 = 1,946,169.50 : x
  2. Step 2: Convert to fraction form
    898,315/1,946,169.50 = 1,946,169.50/x
  3. Step 3: Cross multiply
    898,315x = 1,946,169.50 × 1,946,169.50
  4. Step 4: Simplify right side
    898,315x = 3,787,575,722,730.25
  5. Step 5: Solve for x
    x = 3,787,575,722,730.25/898,315
  6. Step 6: Final answer
    x = 4,216,311.34

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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.