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Finding the Third Proportional to 656,164 and 1,430,912

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Solution

The third proportional to 656,164 and 1,430,912 is: 3,120,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,164 : 1,430,912 = 1,430,912 : x
  2. Step 2: Convert to fraction form
    656,164/1,430,912 = 1,430,912/x
  3. Step 3: Cross multiply
    656,164x = 1,430,912 × 1,430,912
  4. Step 4: Simplify right side
    656,164x = 2,047,509,151,744
  5. Step 5: Solve for x
    x = 2,047,509,151,744/656,164
  6. Step 6: Final answer
    x = 3,120,422.87

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Why These Related Problems?

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