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Finding the Third Proportional to 1,829,160 and 3,939,263

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Solution

The third proportional to 1,829,160 and 3,939,263 is: 8,483,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,160 : 3,939,263 = 3,939,263 : x
  2. Step 2: Convert to fraction form
    1,829,160/3,939,263 = 3,939,263/x
  3. Step 3: Cross multiply
    1,829,160x = 3,939,263 × 3,939,263
  4. Step 4: Simplify right side
    1,829,160x = 15,517,792,983,169
  5. Step 5: Solve for x
    x = 15,517,792,983,169/1,829,160
  6. Step 6: Final answer
    x = 8,483,562.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.