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Finding the Third Proportional to 424,176 and 913,368

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Solution

The third proportional to 424,176 and 913,368 is: 1,966,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,176 : 913,368 = 913,368 : x
  2. Step 2: Convert to fraction form
    424,176/913,368 = 913,368/x
  3. Step 3: Cross multiply
    424,176x = 913,368 × 913,368
  4. Step 4: Simplify right side
    424,176x = 834,241,103,424
  5. Step 5: Solve for x
    x = 834,241,103,424/424,176
  6. Step 6: Final answer
    x = 1,966,733.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.