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Finding the Third Proportional to 1,045,946 and 1,615,054

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Solution

The third proportional to 1,045,946 and 1,615,054 is: 2,493,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,946 : 1,615,054 = 1,615,054 : x
  2. Step 2: Convert to fraction form
    1,045,946/1,615,054 = 1,615,054/x
  3. Step 3: Cross multiply
    1,045,946x = 1,615,054 × 1,615,054
  4. Step 4: Simplify right side
    1,045,946x = 2,608,399,422,916
  5. Step 5: Solve for x
    x = 2,608,399,422,916/1,045,946
  6. Step 6: Final answer
    x = 2,493,818.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.