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Finding the Third Proportional to 926,100 and 2,029,293

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Solution

The third proportional to 926,100 and 2,029,293 is: 4,446,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,100 : 2,029,293 = 2,029,293 : x
  2. Step 2: Convert to fraction form
    926,100/2,029,293 = 2,029,293/x
  3. Step 3: Cross multiply
    926,100x = 2,029,293 × 2,029,293
  4. Step 4: Simplify right side
    926,100x = 4,118,030,079,849
  5. Step 5: Solve for x
    x = 4,118,030,079,849/926,100
  6. Step 6: Final answer
    x = 4,446,636.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.