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Finding the Third Proportional to 677,148 and 1,071,330

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Solution

The third proportional to 677,148 and 1,071,330 is: 1,694,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,148 : 1,071,330 = 1,071,330 : x
  2. Step 2: Convert to fraction form
    677,148/1,071,330 = 1,071,330/x
  3. Step 3: Cross multiply
    677,148x = 1,071,330 × 1,071,330
  4. Step 4: Simplify right side
    677,148x = 1,147,747,968,900
  5. Step 5: Solve for x
    x = 1,147,747,968,900/677,148
  6. Step 6: Final answer
    x = 1,694,973.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.