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Finding the Third Proportional to 656,130 and 1,409,946

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Solution

The third proportional to 656,130 and 1,409,946 is: 3,029,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,130 : 1,409,946 = 1,409,946 : x
  2. Step 2: Convert to fraction form
    656,130/1,409,946 = 1,409,946/x
  3. Step 3: Cross multiply
    656,130x = 1,409,946 × 1,409,946
  4. Step 4: Simplify right side
    656,130x = 1,987,947,722,916
  5. Step 5: Solve for x
    x = 1,987,947,722,916/656,130
  6. Step 6: Final answer
    x = 3,029,807.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.