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Finding the Third Proportional to 949,880 and 1,938,514

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Solution

The third proportional to 949,880 and 1,938,514 is: 3,956,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,880 : 1,938,514 = 1,938,514 : x
  2. Step 2: Convert to fraction form
    949,880/1,938,514 = 1,938,514/x
  3. Step 3: Cross multiply
    949,880x = 1,938,514 × 1,938,514
  4. Step 4: Simplify right side
    949,880x = 3,757,836,528,196
  5. Step 5: Solve for x
    x = 3,757,836,528,196/949,880
  6. Step 6: Final answer
    x = 3,956,117.12

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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.