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Finding the Third Proportional to 841,922 and 1,861,032

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Solution

The third proportional to 841,922 and 1,861,032 is: 4,113,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,922 : 1,861,032 = 1,861,032 : x
  2. Step 2: Convert to fraction form
    841,922/1,861,032 = 1,861,032/x
  3. Step 3: Cross multiply
    841,922x = 1,861,032 × 1,861,032
  4. Step 4: Simplify right side
    841,922x = 3,463,440,105,024
  5. Step 5: Solve for x
    x = 3,463,440,105,024/841,922
  6. Step 6: Final answer
    x = 4,113,730.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.