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Finding the Third Proportional to 889,023 and 1,920,195

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Solution

The third proportional to 889,023 and 1,920,195 is: 4,147,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,023 : 1,920,195 = 1,920,195 : x
  2. Step 2: Convert to fraction form
    889,023/1,920,195 = 1,920,195/x
  3. Step 3: Cross multiply
    889,023x = 1,920,195 × 1,920,195
  4. Step 4: Simplify right side
    889,023x = 3,687,148,838,025
  5. Step 5: Solve for x
    x = 3,687,148,838,025/889,023
  6. Step 6: Final answer
    x = 4,147,416.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.