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Finding the Third Proportional to 489,272 and 1,012,106

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Solution

The third proportional to 489,272 and 1,012,106 is: 2,093,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,272 : 1,012,106 = 1,012,106 : x
  2. Step 2: Convert to fraction form
    489,272/1,012,106 = 1,012,106/x
  3. Step 3: Cross multiply
    489,272x = 1,012,106 × 1,012,106
  4. Step 4: Simplify right side
    489,272x = 1,024,358,555,236
  5. Step 5: Solve for x
    x = 1,024,358,555,236/489,272
  6. Step 6: Final answer
    x = 2,093,638.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.