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Finding the Third Proportional to 2,161,768 and 4,692,752

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Solution

The third proportional to 2,161,768 and 4,692,752 is: 10,186,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,768 : 4,692,752 = 4,692,752 : x
  2. Step 2: Convert to fraction form
    2,161,768/4,692,752 = 4,692,752/x
  3. Step 3: Cross multiply
    2,161,768x = 4,692,752 × 4,692,752
  4. Step 4: Simplify right side
    2,161,768x = 22,021,921,333,504
  5. Step 5: Solve for x
    x = 22,021,921,333,504/2,161,768
  6. Step 6: Final answer
    x = 10,186,995.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.