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Finding the Third Proportional to 882,114 and 1,297,326

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Solution

The third proportional to 882,114 and 1,297,326 is: 1,907,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,114 : 1,297,326 = 1,297,326 : x
  2. Step 2: Convert to fraction form
    882,114/1,297,326 = 1,297,326/x
  3. Step 3: Cross multiply
    882,114x = 1,297,326 × 1,297,326
  4. Step 4: Simplify right side
    882,114x = 1,683,054,750,276
  5. Step 5: Solve for x
    x = 1,683,054,750,276/882,114
  6. Step 6: Final answer
    x = 1,907,978.73

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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.