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Finding the Third Proportional to 656,158 and 1,430,900

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Solution

The third proportional to 656,158 and 1,430,900 is: 3,120,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,158 : 1,430,900 = 1,430,900 : x
  2. Step 2: Convert to fraction form
    656,158/1,430,900 = 1,430,900/x
  3. Step 3: Cross multiply
    656,158x = 1,430,900 × 1,430,900
  4. Step 4: Simplify right side
    656,158x = 2,047,474,810,000
  5. Step 5: Solve for x
    x = 2,047,474,810,000/656,158
  6. Step 6: Final answer
    x = 3,120,399.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.