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Finding the Third Proportional to 598,216 and 1,312,710

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Solution

The third proportional to 598,216 and 1,312,710 is: 2,880,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,216 : 1,312,710 = 1,312,710 : x
  2. Step 2: Convert to fraction form
    598,216/1,312,710 = 1,312,710/x
  3. Step 3: Cross multiply
    598,216x = 1,312,710 × 1,312,710
  4. Step 4: Simplify right side
    598,216x = 1,723,207,544,100
  5. Step 5: Solve for x
    x = 1,723,207,544,100/598,216
  6. Step 6: Final answer
    x = 2,880,577.49

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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.