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Finding the Third Proportional to 706,337 and 1,547,039

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Solution

The third proportional to 706,337 and 1,547,039 is: 3,388,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,337 : 1,547,039 = 1,547,039 : x
  2. Step 2: Convert to fraction form
    706,337/1,547,039 = 1,547,039/x
  3. Step 3: Cross multiply
    706,337x = 1,547,039 × 1,547,039
  4. Step 4: Simplify right side
    706,337x = 2,393,329,667,521
  5. Step 5: Solve for x
    x = 2,393,329,667,521/706,337
  6. Step 6: Final answer
    x = 3,388,367.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.