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Finding the Third Proportional to 1,896,480 and 4,114,368

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Solution

The third proportional to 1,896,480 and 4,114,368 is: 8,926,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896,480 : 4,114,368 = 4,114,368 : x
  2. Step 2: Convert to fraction form
    1,896,480/4,114,368 = 4,114,368/x
  3. Step 3: Cross multiply
    1,896,480x = 4,114,368 × 4,114,368
  4. Step 4: Simplify right side
    1,896,480x = 16,928,024,039,424
  5. Step 5: Solve for x
    x = 16,928,024,039,424/1,896,480
  6. Step 6: Final answer
    x = 8,926,022.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.