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Finding the Third Proportional to 437,430 and 939,984

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Solution

The third proportional to 437,430 and 939,984 is: 2,019,911.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,430 : 939,984 = 939,984 : x
  2. Step 2: Convert to fraction form
    437,430/939,984 = 939,984/x
  3. Step 3: Cross multiply
    437,430x = 939,984 × 939,984
  4. Step 4: Simplify right side
    437,430x = 883,569,920,256
  5. Step 5: Solve for x
    x = 883,569,920,256/437,430
  6. Step 6: Final answer
    x = 2,019,911.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.