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Finding the Third Proportional to 720,144 and 1,160,019

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Solution

The third proportional to 720,144 and 1,160,019 is: 1,868,576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,144 : 1,160,019 = 1,160,019 : x
  2. Step 2: Convert to fraction form
    720,144/1,160,019 = 1,160,019/x
  3. Step 3: Cross multiply
    720,144x = 1,160,019 × 1,160,019
  4. Step 4: Simplify right side
    720,144x = 1,345,644,080,361
  5. Step 5: Solve for x
    x = 1,345,644,080,361/720,144
  6. Step 6: Final answer
    x = 1,868,576.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.