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Finding the Third Proportional to 1,584,634 and 3,415,670

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Solution

The third proportional to 1,584,634 and 3,415,670 is: 7,362,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,634 : 3,415,670 = 3,415,670 : x
  2. Step 2: Convert to fraction form
    1,584,634/3,415,670 = 3,415,670/x
  3. Step 3: Cross multiply
    1,584,634x = 3,415,670 × 3,415,670
  4. Step 4: Simplify right side
    1,584,634x = 11,666,801,548,900
  5. Step 5: Solve for x
    x = 11,666,801,548,900/1,584,634
  6. Step 6: Final answer
    x = 7,362,458.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.