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Finding the Third Proportional to 677,504 and 1,012,928

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Solution

The third proportional to 677,504 and 1,012,928 is: 1,514,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,504 : 1,012,928 = 1,012,928 : x
  2. Step 2: Convert to fraction form
    677,504/1,012,928 = 1,012,928/x
  3. Step 3: Cross multiply
    677,504x = 1,012,928 × 1,012,928
  4. Step 4: Simplify right side
    677,504x = 1,026,023,133,184
  5. Step 5: Solve for x
    x = 1,026,023,133,184/677,504
  6. Step 6: Final answer
    x = 1,514,416.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.