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Finding the Third Proportional to 851,952 and 1,817,564

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Solution

The third proportional to 851,952 and 1,817,564 is: 3,877,611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,952 : 1,817,564 = 1,817,564 : x
  2. Step 2: Convert to fraction form
    851,952/1,817,564 = 1,817,564/x
  3. Step 3: Cross multiply
    851,952x = 1,817,564 × 1,817,564
  4. Step 4: Simplify right side
    851,952x = 3,303,538,894,096
  5. Step 5: Solve for x
    x = 3,303,538,894,096/851,952
  6. Step 6: Final answer
    x = 3,877,611.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.