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Finding the Third Proportional to 763,056 and 1,658,835

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Solution

The third proportional to 763,056 and 1,658,835 is: 3,606,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,056 : 1,658,835 = 1,658,835 : x
  2. Step 2: Convert to fraction form
    763,056/1,658,835 = 1,658,835/x
  3. Step 3: Cross multiply
    763,056x = 1,658,835 × 1,658,835
  4. Step 4: Simplify right side
    763,056x = 2,751,733,557,225
  5. Step 5: Solve for x
    x = 2,751,733,557,225/763,056
  6. Step 6: Final answer
    x = 3,606,201.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.