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Finding the Third Proportional to 469,235 and 1,024,513

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Solution

The third proportional to 469,235 and 1,024,513 is: 2,236,889.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,235 : 1,024,513 = 1,024,513 : x
  2. Step 2: Convert to fraction form
    469,235/1,024,513 = 1,024,513/x
  3. Step 3: Cross multiply
    469,235x = 1,024,513 × 1,024,513
  4. Step 4: Simplify right side
    469,235x = 1,049,626,887,169
  5. Step 5: Solve for x
    x = 1,049,626,887,169/469,235
  6. Step 6: Final answer
    x = 2,236,889.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.