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Finding the Third Proportional to 767,664 and 1,784,592

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Solution

The third proportional to 767,664 and 1,784,592 is: 4,148,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,664 : 1,784,592 = 1,784,592 : x
  2. Step 2: Convert to fraction form
    767,664/1,784,592 = 1,784,592/x
  3. Step 3: Cross multiply
    767,664x = 1,784,592 × 1,784,592
  4. Step 4: Simplify right side
    767,664x = 3,184,768,606,464
  5. Step 5: Solve for x
    x = 3,184,768,606,464/767,664
  6. Step 6: Final answer
    x = 4,148,649.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.