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Finding the Third Proportional to 641,106 and 1,015,176

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Solution

The third proportional to 641,106 and 1,015,176 is: 1,607,506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,106 : 1,015,176 = 1,015,176 : x
  2. Step 2: Convert to fraction form
    641,106/1,015,176 = 1,015,176/x
  3. Step 3: Cross multiply
    641,106x = 1,015,176 × 1,015,176
  4. Step 4: Simplify right side
    641,106x = 1,030,582,310,976
  5. Step 5: Solve for x
    x = 1,030,582,310,976/641,106
  6. Step 6: Final answer
    x = 1,607,506.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.