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Finding the Third Proportional to 1,261,693 and 2,767,658

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Solution

The third proportional to 1,261,693 and 2,767,658 is: 6,071,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,693 : 2,767,658 = 2,767,658 : x
  2. Step 2: Convert to fraction form
    1,261,693/2,767,658 = 2,767,658/x
  3. Step 3: Cross multiply
    1,261,693x = 2,767,658 × 2,767,658
  4. Step 4: Simplify right side
    1,261,693x = 7,659,930,804,964
  5. Step 5: Solve for x
    x = 7,659,930,804,964/1,261,693
  6. Step 6: Final answer
    x = 6,071,152.65

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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.