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Finding the Third Proportional to 935,094 and 2,045,148

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Solution

The third proportional to 935,094 and 2,045,148 is: 4,472,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,094 : 2,045,148 = 2,045,148 : x
  2. Step 2: Convert to fraction form
    935,094/2,045,148 = 2,045,148/x
  3. Step 3: Cross multiply
    935,094x = 2,045,148 × 2,045,148
  4. Step 4: Simplify right side
    935,094x = 4,182,630,341,904
  5. Step 5: Solve for x
    x = 4,182,630,341,904/935,094
  6. Step 6: Final answer
    x = 4,472,951.75

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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.