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Finding the Third Proportional to 489,416 and 1,083,646

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Solution

The third proportional to 489,416 and 1,083,646 is: 2,399,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,416 : 1,083,646 = 1,083,646 : x
  2. Step 2: Convert to fraction form
    489,416/1,083,646 = 1,083,646/x
  3. Step 3: Cross multiply
    489,416x = 1,083,646 × 1,083,646
  4. Step 4: Simplify right side
    489,416x = 1,174,288,653,316
  5. Step 5: Solve for x
    x = 1,174,288,653,316/489,416
  6. Step 6: Final answer
    x = 2,399,367.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.