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Finding the Third Proportional to 2,095,669 and 4,583,648

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Solution

The third proportional to 2,095,669 and 4,583,648 is: 10,025,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,669 : 4,583,648 = 4,583,648 : x
  2. Step 2: Convert to fraction form
    2,095,669/4,583,648 = 4,583,648/x
  3. Step 3: Cross multiply
    2,095,669x = 4,583,648 × 4,583,648
  4. Step 4: Simplify right side
    2,095,669x = 21,009,828,987,904
  5. Step 5: Solve for x
    x = 21,009,828,987,904/2,095,669
  6. Step 6: Final answer
    x = 10,025,356.57

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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.