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Finding the Third Proportional to 656,237 and 1,028,094

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Solution

The third proportional to 656,237 and 1,028,094 is: 1,610,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,237 : 1,028,094 = 1,028,094 : x
  2. Step 2: Convert to fraction form
    656,237/1,028,094 = 1,028,094/x
  3. Step 3: Cross multiply
    656,237x = 1,028,094 × 1,028,094
  4. Step 4: Simplify right side
    656,237x = 1,056,977,272,836
  5. Step 5: Solve for x
    x = 1,056,977,272,836/656,237
  6. Step 6: Final answer
    x = 1,610,663.94

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.