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Finding the Third Proportional to 775,521 and 1,158,651

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Solution

The third proportional to 775,521 and 1,158,651 is: 1,731,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,521 : 1,158,651 = 1,158,651 : x
  2. Step 2: Convert to fraction form
    775,521/1,158,651 = 1,158,651/x
  3. Step 3: Cross multiply
    775,521x = 1,158,651 × 1,158,651
  4. Step 4: Simplify right side
    775,521x = 1,342,472,139,801
  5. Step 5: Solve for x
    x = 1,342,472,139,801/775,521
  6. Step 6: Final answer
    x = 1,731,058.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.