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Finding the Third Proportional to 677,974 and 1,025,709

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Solution

The third proportional to 677,974 and 1,025,709 is: 1,551,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,974 : 1,025,709 = 1,025,709 : x
  2. Step 2: Convert to fraction form
    677,974/1,025,709 = 1,025,709/x
  3. Step 3: Cross multiply
    677,974x = 1,025,709 × 1,025,709
  4. Step 4: Simplify right side
    677,974x = 1,052,078,952,681
  5. Step 5: Solve for x
    x = 1,052,078,952,681/677,974
  6. Step 6: Final answer
    x = 1,551,798.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.