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Finding the Third Proportional to 1,304,064 and 2,765,106

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Solution

The third proportional to 1,304,064 and 2,765,106 is: 5,863,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,064 : 2,765,106 = 2,765,106 : x
  2. Step 2: Convert to fraction form
    1,304,064/2,765,106 = 2,765,106/x
  3. Step 3: Cross multiply
    1,304,064x = 2,765,106 × 2,765,106
  4. Step 4: Simplify right side
    1,304,064x = 7,645,811,191,236
  5. Step 5: Solve for x
    x = 7,645,811,191,236/1,304,064
  6. Step 6: Final answer
    x = 5,863,064.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.