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Finding the Third Proportional to 410,240 and 882,944

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Solution

The third proportional to 410,240 and 882,944 is: 1,900,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,240 : 882,944 = 882,944 : x
  2. Step 2: Convert to fraction form
    410,240/882,944 = 882,944/x
  3. Step 3: Cross multiply
    410,240x = 882,944 × 882,944
  4. Step 4: Simplify right side
    410,240x = 779,590,107,136
  5. Step 5: Solve for x
    x = 779,590,107,136/410,240
  6. Step 6: Final answer
    x = 1,900,326.90

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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.