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Finding the Third Proportional to 1,094,927.63 and 1,464,621.75

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Solution

The third proportional to 1,094,927.63 and 1,464,621.75 is: 1,959,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094,927.63 : 1,464,621.75 = 1,464,621.75 : x
  2. Step 2: Convert to fraction form
    1,094,927.63/1,464,621.75 = 1,464,621.75/x
  3. Step 3: Cross multiply
    1,094,927.63x = 1,464,621.75 × 1,464,621.75
  4. Step 4: Simplify right side
    1,094,927.63x = 2,145,116,870,573.06
  5. Step 5: Solve for x
    x = 2,145,116,870,573.06/1,094,927.63
  6. Step 6: Final answer
    x = 1,959,140.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.