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Finding the Third Proportional to 436,309 and 942,658

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Solution

The third proportional to 436,309 and 942,658 is: 2,036,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,309 : 942,658 = 942,658 : x
  2. Step 2: Convert to fraction form
    436,309/942,658 = 942,658/x
  3. Step 3: Cross multiply
    436,309x = 942,658 × 942,658
  4. Step 4: Simplify right side
    436,309x = 888,604,104,964
  5. Step 5: Solve for x
    x = 888,604,104,964/436,309
  6. Step 6: Final answer
    x = 2,036,639.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.