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Finding the Third Proportional to 701,382 and 1,025,823

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Solution

The third proportional to 701,382 and 1,025,823 is: 1,500,341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,382 : 1,025,823 = 1,025,823 : x
  2. Step 2: Convert to fraction form
    701,382/1,025,823 = 1,025,823/x
  3. Step 3: Cross multiply
    701,382x = 1,025,823 × 1,025,823
  4. Step 4: Simplify right side
    701,382x = 1,052,312,827,329
  5. Step 5: Solve for x
    x = 1,052,312,827,329/701,382
  6. Step 6: Final answer
    x = 1,500,341.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.