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Finding the Third Proportional to 847,289 and 1,862,498

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Solution

The third proportional to 847,289 and 1,862,498 is: 4,094,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,289 : 1,862,498 = 1,862,498 : x
  2. Step 2: Convert to fraction form
    847,289/1,862,498 = 1,862,498/x
  3. Step 3: Cross multiply
    847,289x = 1,862,498 × 1,862,498
  4. Step 4: Simplify right side
    847,289x = 3,468,898,800,004
  5. Step 5: Solve for x
    x = 3,468,898,800,004/847,289
  6. Step 6: Final answer
    x = 4,094,115.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.