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Finding the Third Proportional to 704,634 and 1,004,031

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Solution

The third proportional to 704,634 and 1,004,031 is: 1,430,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,634 : 1,004,031 = 1,004,031 : x
  2. Step 2: Convert to fraction form
    704,634/1,004,031 = 1,004,031/x
  3. Step 3: Cross multiply
    704,634x = 1,004,031 × 1,004,031
  4. Step 4: Simplify right side
    704,634x = 1,008,078,248,961
  5. Step 5: Solve for x
    x = 1,008,078,248,961/704,634
  6. Step 6: Final answer
    x = 1,430,640.94

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.