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Finding the Third Proportional to 762,134.63 and 1,095,455.06

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Solution

The third proportional to 762,134.63 and 1,095,455.06 is: 1,574,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,134.63 : 1,095,455.06 = 1,095,455.06 : x
  2. Step 2: Convert to fraction form
    762,134.63/1,095,455.06 = 1,095,455.06/x
  3. Step 3: Cross multiply
    762,134.63x = 1,095,455.06 × 1,095,455.06
  4. Step 4: Simplify right side
    762,134.63x = 1,200,021,793,956.88
  5. Step 5: Solve for x
    x = 1,200,021,793,956.88/762,134.63
  6. Step 6: Final answer
    x = 1,574,553.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.