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Finding the Third Proportional to 1,582,818.47 and 3,409,783.59

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Solution

The third proportional to 1,582,818.47 and 3,409,783.59 is: 7,345,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,818.47 : 3,409,783.59 = 3,409,783.59 : x
  2. Step 2: Convert to fraction form
    1,582,818.47/3,409,783.59 = 3,409,783.59/x
  3. Step 3: Cross multiply
    1,582,818.47x = 3,409,783.59 × 3,409,783.59
  4. Step 4: Simplify right side
    1,582,818.47x = 11,626,624,156,206.66
  5. Step 5: Solve for x
    x = 11,626,624,156,206.66/1,582,818.47
  6. Step 6: Final answer
    x = 7,345,519.64

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Why These Related Problems?

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