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Finding the Third Proportional to 489,362 and 1,037,477

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Solution

The third proportional to 489,362 and 1,037,477 is: 2,199,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,362 : 1,037,477 = 1,037,477 : x
  2. Step 2: Convert to fraction form
    489,362/1,037,477 = 1,037,477/x
  3. Step 3: Cross multiply
    489,362x = 1,037,477 × 1,037,477
  4. Step 4: Simplify right side
    489,362x = 1,076,358,525,529
  5. Step 5: Solve for x
    x = 1,076,358,525,529/489,362
  6. Step 6: Final answer
    x = 2,199,513.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.