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Finding the Third Proportional to 471,015 and 1,020,222

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Solution

The third proportional to 471,015 and 1,020,222 is: 2,209,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,015 : 1,020,222 = 1,020,222 : x
  2. Step 2: Convert to fraction form
    471,015/1,020,222 = 1,020,222/x
  3. Step 3: Cross multiply
    471,015x = 1,020,222 × 1,020,222
  4. Step 4: Simplify right side
    471,015x = 1,040,852,929,284
  5. Step 5: Solve for x
    x = 1,040,852,929,284/471,015
  6. Step 6: Final answer
    x = 2,209,808.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.