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Finding the Third Proportional to 927,426 and 1,954,476

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Solution

The third proportional to 927,426 and 1,954,476 is: 4,118,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,426 : 1,954,476 = 1,954,476 : x
  2. Step 2: Convert to fraction form
    927,426/1,954,476 = 1,954,476/x
  3. Step 3: Cross multiply
    927,426x = 1,954,476 × 1,954,476
  4. Step 4: Simplify right side
    927,426x = 3,819,976,434,576
  5. Step 5: Solve for x
    x = 3,819,976,434,576/927,426
  6. Step 6: Final answer
    x = 4,118,901.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.