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Finding the Third Proportional to 856,980 and 1,258,950

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Solution

The third proportional to 856,980 and 1,258,950 is: 1,849,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,980 : 1,258,950 = 1,258,950 : x
  2. Step 2: Convert to fraction form
    856,980/1,258,950 = 1,258,950/x
  3. Step 3: Cross multiply
    856,980x = 1,258,950 × 1,258,950
  4. Step 4: Simplify right side
    856,980x = 1,584,955,102,500
  5. Step 5: Solve for x
    x = 1,584,955,102,500/856,980
  6. Step 6: Final answer
    x = 1,849,465.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.