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Finding the Third Proportional to 755,946.42 and 1,170,485.44

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Solution

The third proportional to 755,946.42 and 1,170,485.44 is: 1,812,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,946.42 : 1,170,485.44 = 1,170,485.44 : x
  2. Step 2: Convert to fraction form
    755,946.42/1,170,485.44 = 1,170,485.44/x
  3. Step 3: Cross multiply
    755,946.42x = 1,170,485.44 × 1,170,485.44
  4. Step 4: Simplify right side
    755,946.42x = 1,370,036,159,399.57
  5. Step 5: Solve for x
    x = 1,370,036,159,399.57/755,946.42
  6. Step 6: Final answer
    x = 1,812,345.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.