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Finding the Third Proportional to 514,210 and 1,053,476

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Solution

The third proportional to 514,210 and 1,053,476 is: 2,158,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,210 : 1,053,476 = 1,053,476 : x
  2. Step 2: Convert to fraction form
    514,210/1,053,476 = 1,053,476/x
  3. Step 3: Cross multiply
    514,210x = 1,053,476 × 1,053,476
  4. Step 4: Simplify right side
    514,210x = 1,109,811,682,576
  5. Step 5: Solve for x
    x = 1,109,811,682,576/514,210
  6. Step 6: Final answer
    x = 2,158,284.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.