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Finding the Third Proportional to 794,564,289 and 1,710,562,770

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Solution

The third proportional to 794,564,289 and 1,710,562,770 is: 3,682,552,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,564,289 : 1,710,562,770 = 1,710,562,770 : x
  2. Step 2: Convert to fraction form
    794,564,289/1,710,562,770 = 1,710,562,770/x
  3. Step 3: Cross multiply
    794,564,289x = 1,710,562,770 × 1,710,562,770
  4. Step 4: Simplify right side
    794,564,289x = 2,926,024,990,110,072,832
  5. Step 5: Solve for x
    x = 2,926,024,990,110,072,832/794,564,289
  6. Step 6: Final answer
    x = 3,682,552,853.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.