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Finding the Third Proportional to 481,897 and 1,018,046

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Solution

The third proportional to 481,897 and 1,018,046 is: 2,150,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,897 : 1,018,046 = 1,018,046 : x
  2. Step 2: Convert to fraction form
    481,897/1,018,046 = 1,018,046/x
  3. Step 3: Cross multiply
    481,897x = 1,018,046 × 1,018,046
  4. Step 4: Simplify right side
    481,897x = 1,036,417,658,116
  5. Step 5: Solve for x
    x = 1,036,417,658,116/481,897
  6. Step 6: Final answer
    x = 2,150,703.69

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.