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Finding the Third Proportional to 756,680.64 and 1,261,134.40

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Solution

The third proportional to 756,680.64 and 1,261,134.40 is: 2,101,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,680.64 : 1,261,134.40 = 1,261,134.40 : x
  2. Step 2: Convert to fraction form
    756,680.64/1,261,134.40 = 1,261,134.40/x
  3. Step 3: Cross multiply
    756,680.64x = 1,261,134.40 × 1,261,134.40
  4. Step 4: Simplify right side
    756,680.64x = 1,590,459,985,701.30
  5. Step 5: Solve for x
    x = 1,590,459,985,701.30/756,680.64
  6. Step 6: Final answer
    x = 2,101,890.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.