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Finding the Third Proportional to 763,785 and 1,645,614

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Solution

The third proportional to 763,785 and 1,645,614 is: 3,545,559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,785 : 1,645,614 = 1,645,614 : x
  2. Step 2: Convert to fraction form
    763,785/1,645,614 = 1,645,614/x
  3. Step 3: Cross multiply
    763,785x = 1,645,614 × 1,645,614
  4. Step 4: Simplify right side
    763,785x = 2,708,045,436,996
  5. Step 5: Solve for x
    x = 2,708,045,436,996/763,785
  6. Step 6: Final answer
    x = 3,545,559.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.