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Finding the Third Proportional to 1,785,142 and 3,924,534

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Solution

The third proportional to 1,785,142 and 3,924,534 is: 8,627,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785,142 : 3,924,534 = 3,924,534 : x
  2. Step 2: Convert to fraction form
    1,785,142/3,924,534 = 3,924,534/x
  3. Step 3: Cross multiply
    1,785,142x = 3,924,534 × 3,924,534
  4. Step 4: Simplify right side
    1,785,142x = 15,401,967,117,156
  5. Step 5: Solve for x
    x = 15,401,967,117,156/1,785,142
  6. Step 6: Final answer
    x = 8,627,866.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.