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Finding the Third Proportional to 463,823.44 and 1,006,959.94

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Solution

The third proportional to 463,823.44 and 1,006,959.94 is: 2,186,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,823.44 : 1,006,959.94 = 1,006,959.94 : x
  2. Step 2: Convert to fraction form
    463,823.44/1,006,959.94 = 1,006,959.94/x
  3. Step 3: Cross multiply
    463,823.44x = 1,006,959.94 × 1,006,959.94
  4. Step 4: Simplify right side
    463,823.44x = 1,013,968,315,730.00
  5. Step 5: Solve for x
    x = 1,013,968,315,730.00/463,823.44
  6. Step 6: Final answer
    x = 2,186,108.41

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