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Finding the Third Proportional to 500,996 and 1,106,966

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Solution

The third proportional to 500,996 and 1,106,966 is: 2,445,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,996 : 1,106,966 = 1,106,966 : x
  2. Step 2: Convert to fraction form
    500,996/1,106,966 = 1,106,966/x
  3. Step 3: Cross multiply
    500,996x = 1,106,966 × 1,106,966
  4. Step 4: Simplify right side
    500,996x = 1,225,373,725,156
  5. Step 5: Solve for x
    x = 1,225,373,725,156/500,996
  6. Step 6: Final answer
    x = 2,445,875.27

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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.