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Finding the Third Proportional to 879,414 and 1,927,168

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Solution

The third proportional to 879,414 and 1,927,168 is: 4,223,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,414 : 1,927,168 = 1,927,168 : x
  2. Step 2: Convert to fraction form
    879,414/1,927,168 = 1,927,168/x
  3. Step 3: Cross multiply
    879,414x = 1,927,168 × 1,927,168
  4. Step 4: Simplify right side
    879,414x = 3,713,976,500,224
  5. Step 5: Solve for x
    x = 3,713,976,500,224/879,414
  6. Step 6: Final answer
    x = 4,223,240.14

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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.