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Finding the Third Proportional to 493,432 and 1,025,646

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Solution

The third proportional to 493,432 and 1,025,646 is: 2,131,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,432 : 1,025,646 = 1,025,646 : x
  2. Step 2: Convert to fraction form
    493,432/1,025,646 = 1,025,646/x
  3. Step 3: Cross multiply
    493,432x = 1,025,646 × 1,025,646
  4. Step 4: Simplify right side
    493,432x = 1,051,949,717,316
  5. Step 5: Solve for x
    x = 1,051,949,717,316/493,432
  6. Step 6: Final answer
    x = 2,131,904.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.