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Finding the Third Proportional to 740,475 and 1,082,646

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Solution

The third proportional to 740,475 and 1,082,646 is: 1,582,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,475 : 1,082,646 = 1,082,646 : x
  2. Step 2: Convert to fraction form
    740,475/1,082,646 = 1,082,646/x
  3. Step 3: Cross multiply
    740,475x = 1,082,646 × 1,082,646
  4. Step 4: Simplify right side
    740,475x = 1,172,122,361,316
  5. Step 5: Solve for x
    x = 1,172,122,361,316/740,475
  6. Step 6: Final answer
    x = 1,582,933.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.