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Finding the Third Proportional to 409,006 and 883,348

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Solution

The third proportional to 409,006 and 883,348 is: 1,907,804.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,006 : 883,348 = 883,348 : x
  2. Step 2: Convert to fraction form
    409,006/883,348 = 883,348/x
  3. Step 3: Cross multiply
    409,006x = 883,348 × 883,348
  4. Step 4: Simplify right side
    409,006x = 780,303,689,104
  5. Step 5: Solve for x
    x = 780,303,689,104/409,006
  6. Step 6: Final answer
    x = 1,907,804.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.