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Finding the Third Proportional to 466,157 and 1,020,901

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Solution

The third proportional to 466,157 and 1,020,901 is: 2,235,810.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,157 : 1,020,901 = 1,020,901 : x
  2. Step 2: Convert to fraction form
    466,157/1,020,901 = 1,020,901/x
  3. Step 3: Cross multiply
    466,157x = 1,020,901 × 1,020,901
  4. Step 4: Simplify right side
    466,157x = 1,042,238,851,801
  5. Step 5: Solve for x
    x = 1,042,238,851,801/466,157
  6. Step 6: Final answer
    x = 2,235,810.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.