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Finding the Third Proportional to 949,114 and 1,976,960

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Solution

The third proportional to 949,114 and 1,976,960 is: 4,117,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,114 : 1,976,960 = 1,976,960 : x
  2. Step 2: Convert to fraction form
    949,114/1,976,960 = 1,976,960/x
  3. Step 3: Cross multiply
    949,114x = 1,976,960 × 1,976,960
  4. Step 4: Simplify right side
    949,114x = 3,908,370,841,600
  5. Step 5: Solve for x
    x = 3,908,370,841,600/949,114
  6. Step 6: Final answer
    x = 4,117,915.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.