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Finding the Third Proportional to 934,983 and 2,017,584

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Solution

The third proportional to 934,983 and 2,017,584 is: 4,353,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,983 : 2,017,584 = 2,017,584 : x
  2. Step 2: Convert to fraction form
    934,983/2,017,584 = 2,017,584/x
  3. Step 3: Cross multiply
    934,983x = 2,017,584 × 2,017,584
  4. Step 4: Simplify right side
    934,983x = 4,070,645,197,056
  5. Step 5: Solve for x
    x = 4,070,645,197,056/934,983
  6. Step 6: Final answer
    x = 4,353,710.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.