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Finding the Third Proportional to 1,164,658 and 2,469,284

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Solution

The third proportional to 1,164,658 and 2,469,284 is: 5,235,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,658 : 2,469,284 = 2,469,284 : x
  2. Step 2: Convert to fraction form
    1,164,658/2,469,284 = 2,469,284/x
  3. Step 3: Cross multiply
    1,164,658x = 2,469,284 × 2,469,284
  4. Step 4: Simplify right side
    1,164,658x = 6,097,363,472,656
  5. Step 5: Solve for x
    x = 6,097,363,472,656/1,164,658
  6. Step 6: Final answer
    x = 5,235,325.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.