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Finding the Third Proportional to 852,444 and 1,849,716

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Solution

The third proportional to 852,444 and 1,849,716 is: 4,013,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,444 : 1,849,716 = 1,849,716 : x
  2. Step 2: Convert to fraction form
    852,444/1,849,716 = 1,849,716/x
  3. Step 3: Cross multiply
    852,444x = 1,849,716 × 1,849,716
  4. Step 4: Simplify right side
    852,444x = 3,421,449,280,656
  5. Step 5: Solve for x
    x = 3,421,449,280,656/852,444
  6. Step 6: Final answer
    x = 4,013,693.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.