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Finding the Third Proportional to 409,074 and 883,476

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Solution

The third proportional to 409,074 and 883,476 is: 1,908,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,074 : 883,476 = 883,476 : x
  2. Step 2: Convert to fraction form
    409,074/883,476 = 883,476/x
  3. Step 3: Cross multiply
    409,074x = 883,476 × 883,476
  4. Step 4: Simplify right side
    409,074x = 780,529,842,576
  5. Step 5: Solve for x
    x = 780,529,842,576/409,074
  6. Step 6: Final answer
    x = 1,908,040.70

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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.