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Finding the Third Proportional to 2,183,488 and 4,698,752

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Solution

The third proportional to 2,183,488 and 4,698,752 is: 10,111,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183,488 : 4,698,752 = 4,698,752 : x
  2. Step 2: Convert to fraction form
    2,183,488/4,698,752 = 4,698,752/x
  3. Step 3: Cross multiply
    2,183,488x = 4,698,752 × 4,698,752
  4. Step 4: Simplify right side
    2,183,488x = 22,078,270,357,504
  5. Step 5: Solve for x
    x = 22,078,270,357,504/2,183,488
  6. Step 6: Final answer
    x = 10,111,468.60

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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.