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Finding the Third Proportional to 848,976 and 1,849,584

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Solution

The third proportional to 848,976 and 1,849,584 is: 4,029,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,976 : 1,849,584 = 1,849,584 : x
  2. Step 2: Convert to fraction form
    848,976/1,849,584 = 1,849,584/x
  3. Step 3: Cross multiply
    848,976x = 1,849,584 × 1,849,584
  4. Step 4: Simplify right side
    848,976x = 3,420,960,973,056
  5. Step 5: Solve for x
    x = 3,420,960,973,056/848,976
  6. Step 6: Final answer
    x = 4,029,514.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.