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Finding the Third Proportional to 438,532 and 936,968

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Solution

The third proportional to 438,532 and 936,968 is: 2,001,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,532 : 936,968 = 936,968 : x
  2. Step 2: Convert to fraction form
    438,532/936,968 = 936,968/x
  3. Step 3: Cross multiply
    438,532x = 936,968 × 936,968
  4. Step 4: Simplify right side
    438,532x = 877,909,033,024
  5. Step 5: Solve for x
    x = 877,909,033,024/438,532
  6. Step 6: Final answer
    x = 2,001,926.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.