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Finding the Third Proportional to 1,308,102 and 3,057,063

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Solution

The third proportional to 1,308,102 and 3,057,063 is: 7,144,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,102 : 3,057,063 = 3,057,063 : x
  2. Step 2: Convert to fraction form
    1,308,102/3,057,063 = 3,057,063/x
  3. Step 3: Cross multiply
    1,308,102x = 3,057,063 × 3,057,063
  4. Step 4: Simplify right side
    1,308,102x = 9,345,634,185,969
  5. Step 5: Solve for x
    x = 9,345,634,185,969/1,308,102
  6. Step 6: Final answer
    x = 7,144,423.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.