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Finding the Third Proportional to 461,150 and 1,009,780

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Solution

The third proportional to 461,150 and 1,009,780 is: 2,211,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,150 : 1,009,780 = 1,009,780 : x
  2. Step 2: Convert to fraction form
    461,150/1,009,780 = 1,009,780/x
  3. Step 3: Cross multiply
    461,150x = 1,009,780 × 1,009,780
  4. Step 4: Simplify right side
    461,150x = 1,019,655,648,400
  5. Step 5: Solve for x
    x = 1,019,655,648,400/461,150
  6. Step 6: Final answer
    x = 2,211,114.93

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