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Finding the Third Proportional to 467,146 and 1,024,724

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Solution

The third proportional to 467,146 and 1,024,724 is: 2,247,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,146 : 1,024,724 = 1,024,724 : x
  2. Step 2: Convert to fraction form
    467,146/1,024,724 = 1,024,724/x
  3. Step 3: Cross multiply
    467,146x = 1,024,724 × 1,024,724
  4. Step 4: Simplify right side
    467,146x = 1,050,059,276,176
  5. Step 5: Solve for x
    x = 1,050,059,276,176/467,146
  6. Step 6: Final answer
    x = 2,247,818.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.