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Finding the Third Proportional to 656,234 and 1,028,090

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Solution

The third proportional to 656,234 and 1,028,090 is: 1,610,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,234 : 1,028,090 = 1,028,090 : x
  2. Step 2: Convert to fraction form
    656,234/1,028,090 = 1,028,090/x
  3. Step 3: Cross multiply
    656,234x = 1,028,090 × 1,028,090
  4. Step 4: Simplify right side
    656,234x = 1,056,969,048,100
  5. Step 5: Solve for x
    x = 1,056,969,048,100/656,234
  6. Step 6: Final answer
    x = 1,610,658.77

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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.