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Finding the Third Proportional to 598,128 and 1,312,515

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Solution

The third proportional to 598,128 and 1,312,515 is: 2,880,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,128 : 1,312,515 = 1,312,515 : x
  2. Step 2: Convert to fraction form
    598,128/1,312,515 = 1,312,515/x
  3. Step 3: Cross multiply
    598,128x = 1,312,515 × 1,312,515
  4. Step 4: Simplify right side
    598,128x = 1,722,695,625,225
  5. Step 5: Solve for x
    x = 1,722,695,625,225/598,128
  6. Step 6: Final answer
    x = 2,880,145.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.