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Finding the Third Proportional to 929,075 and 1,421,385

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Solution

The third proportional to 929,075 and 1,421,385 is: 2,174,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,075 : 1,421,385 = 1,421,385 : x
  2. Step 2: Convert to fraction form
    929,075/1,421,385 = 1,421,385/x
  3. Step 3: Cross multiply
    929,075x = 1,421,385 × 1,421,385
  4. Step 4: Simplify right side
    929,075x = 2,020,335,318,225
  5. Step 5: Solve for x
    x = 2,020,335,318,225/929,075
  6. Step 6: Final answer
    x = 2,174,566.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.