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Finding the Third Proportional to 466,075.13 and 1,021,077

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Solution

The third proportional to 466,075.13 and 1,021,077 is: 2,236,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,075.13 : 1,021,077 = 1,021,077 : x
  2. Step 2: Convert to fraction form
    466,075.13/1,021,077 = 1,021,077/x
  3. Step 3: Cross multiply
    466,075.13x = 1,021,077 × 1,021,077
  4. Step 4: Simplify right side
    466,075.13x = 1,042,598,239,929
  5. Step 5: Solve for x
    x = 1,042,598,239,929/466,075.13
  6. Step 6: Final answer
    x = 2,236,974.65

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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.