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Finding the Third Proportional to 2,839,506 and 6,160,638

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Solution

The third proportional to 2,839,506 and 6,160,638 is: 13,366,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839,506 : 6,160,638 = 6,160,638 : x
  2. Step 2: Convert to fraction form
    2,839,506/6,160,638 = 6,160,638/x
  3. Step 3: Cross multiply
    2,839,506x = 6,160,638 × 6,160,638
  4. Step 4: Simplify right side
    2,839,506x = 37,953,460,567,044
  5. Step 5: Solve for x
    x = 37,953,460,567,044/2,839,506
  6. Step 6: Final answer
    x = 13,366,219.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.