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Finding the Third Proportional to 598,126 and 1,312,513

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Solution

The third proportional to 598,126 and 1,312,513 is: 2,880,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,126 : 1,312,513 = 1,312,513 : x
  2. Step 2: Convert to fraction form
    598,126/1,312,513 = 1,312,513/x
  3. Step 3: Cross multiply
    598,126x = 1,312,513 × 1,312,513
  4. Step 4: Simplify right side
    598,126x = 1,722,690,375,169
  5. Step 5: Solve for x
    x = 1,722,690,375,169/598,126
  6. Step 6: Final answer
    x = 2,880,146.28

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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.