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Finding the Third Proportional to 480,053 and 1,037,122

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Solution

The third proportional to 480,053 and 1,037,122 is: 2,240,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,053 : 1,037,122 = 1,037,122 : x
  2. Step 2: Convert to fraction form
    480,053/1,037,122 = 1,037,122/x
  3. Step 3: Cross multiply
    480,053x = 1,037,122 × 1,037,122
  4. Step 4: Simplify right side
    480,053x = 1,075,622,042,884
  5. Step 5: Solve for x
    x = 1,075,622,042,884/480,053
  6. Step 6: Final answer
    x = 2,240,631.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.