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Finding the Third Proportional to 833,904 and 1,966,584

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Solution

The third proportional to 833,904 and 1,966,584 is: 4,637,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,904 : 1,966,584 = 1,966,584 : x
  2. Step 2: Convert to fraction form
    833,904/1,966,584 = 1,966,584/x
  3. Step 3: Cross multiply
    833,904x = 1,966,584 × 1,966,584
  4. Step 4: Simplify right side
    833,904x = 3,867,452,629,056
  5. Step 5: Solve for x
    x = 3,867,452,629,056/833,904
  6. Step 6: Final answer
    x = 4,637,767.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.