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Finding the Third Proportional to 1,045,271 and 2,216,142

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Solution

The third proportional to 1,045,271 and 2,216,142 is: 4,698,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,271 : 2,216,142 = 2,216,142 : x
  2. Step 2: Convert to fraction form
    1,045,271/2,216,142 = 2,216,142/x
  3. Step 3: Cross multiply
    1,045,271x = 2,216,142 × 2,216,142
  4. Step 4: Simplify right side
    1,045,271x = 4,911,285,364,164
  5. Step 5: Solve for x
    x = 4,911,285,364,164/1,045,271
  6. Step 6: Final answer
    x = 4,698,576.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.