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Finding the Third Proportional to 890,310 and 1,886,564

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Solution

The third proportional to 890,310 and 1,886,564 is: 3,997,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,310 : 1,886,564 = 1,886,564 : x
  2. Step 2: Convert to fraction form
    890,310/1,886,564 = 1,886,564/x
  3. Step 3: Cross multiply
    890,310x = 1,886,564 × 1,886,564
  4. Step 4: Simplify right side
    890,310x = 3,559,123,726,096
  5. Step 5: Solve for x
    x = 3,559,123,726,096/890,310
  6. Step 6: Final answer
    x = 3,997,622.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.