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Finding the Third Proportional to 946,305 and 2,075,823

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Solution

The third proportional to 946,305 and 2,075,823 is: 4,553,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,305 : 2,075,823 = 2,075,823 : x
  2. Step 2: Convert to fraction form
    946,305/2,075,823 = 2,075,823/x
  3. Step 3: Cross multiply
    946,305x = 2,075,823 × 2,075,823
  4. Step 4: Simplify right side
    946,305x = 4,309,041,127,329
  5. Step 5: Solve for x
    x = 4,309,041,127,329/946,305
  6. Step 6: Final answer
    x = 4,553,543.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.