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Finding the Third Proportional to 961,784 and 2,090,752

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Solution

The third proportional to 961,784 and 2,090,752 is: 4,544,933.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,784 : 2,090,752 = 2,090,752 : x
  2. Step 2: Convert to fraction form
    961,784/2,090,752 = 2,090,752/x
  3. Step 3: Cross multiply
    961,784x = 2,090,752 × 2,090,752
  4. Step 4: Simplify right side
    961,784x = 4,371,243,925,504
  5. Step 5: Solve for x
    x = 4,371,243,925,504/961,784
  6. Step 6: Final answer
    x = 4,544,933.09

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Why These Related Problems?

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