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Finding the Third Proportional to 455,075 and 989,572

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Solution

The third proportional to 455,075 and 989,572 is: 2,151,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,075 : 989,572 = 989,572 : x
  2. Step 2: Convert to fraction form
    455,075/989,572 = 989,572/x
  3. Step 3: Cross multiply
    455,075x = 989,572 × 989,572
  4. Step 4: Simplify right side
    455,075x = 979,252,743,184
  5. Step 5: Solve for x
    x = 979,252,743,184/455,075
  6. Step 6: Final answer
    x = 2,151,849.13

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Why These Related Problems?

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