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Finding the Third Proportional to 468,321 and 1,105,164

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Solution

The third proportional to 468,321 and 1,105,164 is: 2,608,013.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,321 : 1,105,164 = 1,105,164 : x
  2. Step 2: Convert to fraction form
    468,321/1,105,164 = 1,105,164/x
  3. Step 3: Cross multiply
    468,321x = 1,105,164 × 1,105,164
  4. Step 4: Simplify right side
    468,321x = 1,221,387,466,896
  5. Step 5: Solve for x
    x = 1,221,387,466,896/468,321
  6. Step 6: Final answer
    x = 2,608,013.45

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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.