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Finding the Third Proportional to 599,416 and 1,309,280

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Solution

The third proportional to 599,416 and 1,309,280 is: 2,859,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,416 : 1,309,280 = 1,309,280 : x
  2. Step 2: Convert to fraction form
    599,416/1,309,280 = 1,309,280/x
  3. Step 3: Cross multiply
    599,416x = 1,309,280 × 1,309,280
  4. Step 4: Simplify right side
    599,416x = 1,714,214,118,400
  5. Step 5: Solve for x
    x = 1,714,214,118,400/599,416
  6. Step 6: Final answer
    x = 2,859,807.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.