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Finding the Third Proportional to 482,636 and 1,029,370

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Solution

The third proportional to 482,636 and 1,029,370 is: 2,195,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,636 : 1,029,370 = 1,029,370 : x
  2. Step 2: Convert to fraction form
    482,636/1,029,370 = 1,029,370/x
  3. Step 3: Cross multiply
    482,636x = 1,029,370 × 1,029,370
  4. Step 4: Simplify right side
    482,636x = 1,059,602,596,900
  5. Step 5: Solve for x
    x = 1,059,602,596,900/482,636
  6. Step 6: Final answer
    x = 2,195,448.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.