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Finding the Third Proportional to 924,102 and 2,022,129

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Solution

The third proportional to 924,102 and 2,022,129 is: 4,424,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,102 : 2,022,129 = 2,022,129 : x
  2. Step 2: Convert to fraction form
    924,102/2,022,129 = 2,022,129/x
  3. Step 3: Cross multiply
    924,102x = 2,022,129 × 2,022,129
  4. Step 4: Simplify right side
    924,102x = 4,089,005,692,641
  5. Step 5: Solve for x
    x = 4,089,005,692,641/924,102
  6. Step 6: Final answer
    x = 4,424,842.38

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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.