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Finding the Third Proportional to 969,014 and 1,487,411

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Solution

The third proportional to 969,014 and 1,487,411 is: 2,283,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,014 : 1,487,411 = 1,487,411 : x
  2. Step 2: Convert to fraction form
    969,014/1,487,411 = 1,487,411/x
  3. Step 3: Cross multiply
    969,014x = 1,487,411 × 1,487,411
  4. Step 4: Simplify right side
    969,014x = 2,212,391,482,921
  5. Step 5: Solve for x
    x = 2,212,391,482,921/969,014
  6. Step 6: Final answer
    x = 2,283,136.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.