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Finding the Third Proportional to 879,419 and 1,927,174

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Solution

The third proportional to 879,419 and 1,927,174 is: 4,223,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,419 : 1,927,174 = 1,927,174 : x
  2. Step 2: Convert to fraction form
    879,419/1,927,174 = 1,927,174/x
  3. Step 3: Cross multiply
    879,419x = 1,927,174 × 1,927,174
  4. Step 4: Simplify right side
    879,419x = 3,713,999,626,276
  5. Step 5: Solve for x
    x = 3,713,999,626,276/879,419
  6. Step 6: Final answer
    x = 4,223,242.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.