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Finding the Third Proportional to 973,305 and 1,512,324

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Solution

The third proportional to 973,305 and 1,512,324 is: 2,349,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,305 : 1,512,324 = 1,512,324 : x
  2. Step 2: Convert to fraction form
    973,305/1,512,324 = 1,512,324/x
  3. Step 3: Cross multiply
    973,305x = 1,512,324 × 1,512,324
  4. Step 4: Simplify right side
    973,305x = 2,287,123,880,976
  5. Step 5: Solve for x
    x = 2,287,123,880,976/973,305
  6. Step 6: Final answer
    x = 2,349,853.21

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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.