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Finding the Third Proportional to 672,300 and 1,406,928

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Solution

The third proportional to 672,300 and 1,406,928 is: 2,944,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,300 : 1,406,928 = 1,406,928 : x
  2. Step 2: Convert to fraction form
    672,300/1,406,928 = 1,406,928/x
  3. Step 3: Cross multiply
    672,300x = 1,406,928 × 1,406,928
  4. Step 4: Simplify right side
    672,300x = 1,979,446,397,184
  5. Step 5: Solve for x
    x = 1,979,446,397,184/672,300
  6. Step 6: Final answer
    x = 2,944,290.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.