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Finding the Third Proportional to 850,038 and 1,849,611

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Solution

The third proportional to 850,038 and 1,849,611 is: 4,024,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,038 : 1,849,611 = 1,849,611 : x
  2. Step 2: Convert to fraction form
    850,038/1,849,611 = 1,849,611/x
  3. Step 3: Cross multiply
    850,038x = 1,849,611 × 1,849,611
  4. Step 4: Simplify right side
    850,038x = 3,421,060,851,321
  5. Step 5: Solve for x
    x = 3,421,060,851,321/850,038
  6. Step 6: Final answer
    x = 4,024,597.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.