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Finding the Third Proportional to 431,645 and 939,920.50

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Solution

The third proportional to 431,645 and 939,920.50 is: 2,046,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,645 : 939,920.50 = 939,920.50 : x
  2. Step 2: Convert to fraction form
    431,645/939,920.50 = 939,920.50/x
  3. Step 3: Cross multiply
    431,645x = 939,920.50 × 939,920.50
  4. Step 4: Simplify right side
    431,645x = 883,450,546,320.25
  5. Step 5: Solve for x
    x = 883,450,546,320.25/431,645
  6. Step 6: Final answer
    x = 2,046,706.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.