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Finding the Third Proportional to 946,166.06 and 1,415,330.72

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Solution

The third proportional to 946,166.06 and 1,415,330.72 is: 2,117,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,166.06 : 1,415,330.72 = 1,415,330.72 : x
  2. Step 2: Convert to fraction form
    946,166.06/1,415,330.72 = 1,415,330.72/x
  3. Step 3: Cross multiply
    946,166.06x = 1,415,330.72 × 1,415,330.72
  4. Step 4: Simplify right side
    946,166.06x = 2,003,161,043,437.39
  5. Step 5: Solve for x
    x = 2,003,161,043,437.39/946,166.06
  6. Step 6: Final answer
    x = 2,117,134.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.