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Finding the Third Proportional to 489,330 and 1,037,464

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Solution

The third proportional to 489,330 and 1,037,464 is: 2,199,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,330 : 1,037,464 = 1,037,464 : x
  2. Step 2: Convert to fraction form
    489,330/1,037,464 = 1,037,464/x
  3. Step 3: Cross multiply
    489,330x = 1,037,464 × 1,037,464
  4. Step 4: Simplify right side
    489,330x = 1,076,331,551,296
  5. Step 5: Solve for x
    x = 1,076,331,551,296/489,330
  6. Step 6: Final answer
    x = 2,199,602.62

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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.