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Finding the Third Proportional to 898,184 and 1,920,856

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Solution

The third proportional to 898,184 and 1,920,856 is: 4,107,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,184 : 1,920,856 = 1,920,856 : x
  2. Step 2: Convert to fraction form
    898,184/1,920,856 = 1,920,856/x
  3. Step 3: Cross multiply
    898,184x = 1,920,856 × 1,920,856
  4. Step 4: Simplify right side
    898,184x = 3,689,687,772,736
  5. Step 5: Solve for x
    x = 3,689,687,772,736/898,184
  6. Step 6: Final answer
    x = 4,107,941.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.