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Finding the Third Proportional to 1,045,272 and 2,216,145

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Solution

The third proportional to 1,045,272 and 2,216,145 is: 4,698,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,272 : 2,216,145 = 2,216,145 : x
  2. Step 2: Convert to fraction form
    1,045,272/2,216,145 = 2,216,145/x
  3. Step 3: Cross multiply
    1,045,272x = 2,216,145 × 2,216,145
  4. Step 4: Simplify right side
    1,045,272x = 4,911,298,661,025
  5. Step 5: Solve for x
    x = 4,911,298,661,025/1,045,272
  6. Step 6: Final answer
    x = 4,698,584.35

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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.