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Finding the Third Proportional to 949,833 and 1,938,423

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Solution

The third proportional to 949,833 and 1,938,423 is: 3,955,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,833 : 1,938,423 = 1,938,423 : x
  2. Step 2: Convert to fraction form
    949,833/1,938,423 = 1,938,423/x
  3. Step 3: Cross multiply
    949,833x = 1,938,423 × 1,938,423
  4. Step 4: Simplify right side
    949,833x = 3,757,483,726,929
  5. Step 5: Solve for x
    x = 3,757,483,726,929/949,833
  6. Step 6: Final answer
    x = 3,955,941.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.