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Finding the Third Proportional to 693,096.75 and 1,064,886.75

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Solution

The third proportional to 693,096.75 and 1,064,886.75 is: 1,636,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,096.75 : 1,064,886.75 = 1,064,886.75 : x
  2. Step 2: Convert to fraction form
    693,096.75/1,064,886.75 = 1,064,886.75/x
  3. Step 3: Cross multiply
    693,096.75x = 1,064,886.75 × 1,064,886.75
  4. Step 4: Simplify right side
    693,096.75x = 1,133,983,790,325.56
  5. Step 5: Solve for x
    x = 1,133,983,790,325.56/693,096.75
  6. Step 6: Final answer
    x = 1,636,111.83

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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.