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Finding the Third Proportional to 469,173 and 1,024,358

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Solution

The third proportional to 469,173 and 1,024,358 is: 2,236,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,173 : 1,024,358 = 1,024,358 : x
  2. Step 2: Convert to fraction form
    469,173/1,024,358 = 1,024,358/x
  3. Step 3: Cross multiply
    469,173x = 1,024,358 × 1,024,358
  4. Step 4: Simplify right side
    469,173x = 1,049,309,312,164
  5. Step 5: Solve for x
    x = 1,049,309,312,164/469,173
  6. Step 6: Final answer
    x = 2,236,508.31

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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.