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Finding the Third Proportional to 455,646 and 1,064,595

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Solution

The third proportional to 455,646 and 1,064,595 is: 2,487,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,646 : 1,064,595 = 1,064,595 : x
  2. Step 2: Convert to fraction form
    455,646/1,064,595 = 1,064,595/x
  3. Step 3: Cross multiply
    455,646x = 1,064,595 × 1,064,595
  4. Step 4: Simplify right side
    455,646x = 1,133,362,514,025
  5. Step 5: Solve for x
    x = 1,133,362,514,025/455,646
  6. Step 6: Final answer
    x = 2,487,375.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.