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Finding the Third Proportional to 598,131 and 1,312,521

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Solution

The third proportional to 598,131 and 1,312,521 is: 2,880,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,131 : 1,312,521 = 1,312,521 : x
  2. Step 2: Convert to fraction form
    598,131/1,312,521 = 1,312,521/x
  3. Step 3: Cross multiply
    598,131x = 1,312,521 × 1,312,521
  4. Step 4: Simplify right side
    598,131x = 1,722,711,375,441
  5. Step 5: Solve for x
    x = 1,722,711,375,441/598,131
  6. Step 6: Final answer
    x = 2,880,157.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.