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Finding the Third Proportional to 761,833 and 1,624,915

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Solution

The third proportional to 761,833 and 1,624,915 is: 3,465,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,833 : 1,624,915 = 1,624,915 : x
  2. Step 2: Convert to fraction form
    761,833/1,624,915 = 1,624,915/x
  3. Step 3: Cross multiply
    761,833x = 1,624,915 × 1,624,915
  4. Step 4: Simplify right side
    761,833x = 2,640,348,757,225
  5. Step 5: Solve for x
    x = 2,640,348,757,225/761,833
  6. Step 6: Final answer
    x = 3,465,784.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.