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Finding the Third Proportional to 863,176 and 1,897,658

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Solution

The third proportional to 863,176 and 1,897,658 is: 4,171,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,176 : 1,897,658 = 1,897,658 : x
  2. Step 2: Convert to fraction form
    863,176/1,897,658 = 1,897,658/x
  3. Step 3: Cross multiply
    863,176x = 1,897,658 × 1,897,658
  4. Step 4: Simplify right side
    863,176x = 3,601,105,884,964
  5. Step 5: Solve for x
    x = 3,601,105,884,964/863,176
  6. Step 6: Final answer
    x = 4,171,925.41

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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.