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Finding the Third Proportional to 734,729 and 1,134,833

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Solution

The third proportional to 734,729 and 1,134,833 is: 1,752,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,729 : 1,134,833 = 1,134,833 : x
  2. Step 2: Convert to fraction form
    734,729/1,134,833 = 1,134,833/x
  3. Step 3: Cross multiply
    734,729x = 1,134,833 × 1,134,833
  4. Step 4: Simplify right side
    734,729x = 1,287,845,937,889
  5. Step 5: Solve for x
    x = 1,287,845,937,889/734,729
  6. Step 6: Final answer
    x = 1,752,817.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.