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Finding the Third Proportional to 967,251 and 1,495,341

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Solution

The third proportional to 967,251 and 1,495,341 is: 2,311,752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,251 : 1,495,341 = 1,495,341 : x
  2. Step 2: Convert to fraction form
    967,251/1,495,341 = 1,495,341/x
  3. Step 3: Cross multiply
    967,251x = 1,495,341 × 1,495,341
  4. Step 4: Simplify right side
    967,251x = 2,236,044,706,281
  5. Step 5: Solve for x
    x = 2,236,044,706,281/967,251
  6. Step 6: Final answer
    x = 2,311,752.28

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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.