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Finding the Third Proportional to 753,415 and 1,778,173

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Solution

The third proportional to 753,415 and 1,778,173 is: 4,196,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,415 : 1,778,173 = 1,778,173 : x
  2. Step 2: Convert to fraction form
    753,415/1,778,173 = 1,778,173/x
  3. Step 3: Cross multiply
    753,415x = 1,778,173 × 1,778,173
  4. Step 4: Simplify right side
    753,415x = 3,161,899,217,929
  5. Step 5: Solve for x
    x = 3,161,899,217,929/753,415
  6. Step 6: Final answer
    x = 4,196,756.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.