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Finding the Third Proportional to 438,978 and 961,710

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Solution

The third proportional to 438,978 and 961,710 is: 2,106,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,978 : 961,710 = 961,710 : x
  2. Step 2: Convert to fraction form
    438,978/961,710 = 961,710/x
  3. Step 3: Cross multiply
    438,978x = 961,710 × 961,710
  4. Step 4: Simplify right side
    438,978x = 924,886,124,100
  5. Step 5: Solve for x
    x = 924,886,124,100/438,978
  6. Step 6: Final answer
    x = 2,106,907.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.