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Finding the Third Proportional to 422,901 and 912,292.88

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Solution

The third proportional to 422,901 and 912,292.88 is: 1,968,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,901 : 912,292.88 = 912,292.88 : x
  2. Step 2: Convert to fraction form
    422,901/912,292.88 = 912,292.88/x
  3. Step 3: Cross multiply
    422,901x = 912,292.88 × 912,292.88
  4. Step 4: Simplify right side
    422,901x = 832,278,289,775.77
  5. Step 5: Solve for x
    x = 832,278,289,775.77/422,901
  6. Step 6: Final answer
    x = 1,968,021.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.