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Finding the Third Proportional to 480,596 and 1,023,309

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Solution

The third proportional to 480,596 and 1,023,309 is: 2,178,880.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,596 : 1,023,309 = 1,023,309 : x
  2. Step 2: Convert to fraction form
    480,596/1,023,309 = 1,023,309/x
  3. Step 3: Cross multiply
    480,596x = 1,023,309 × 1,023,309
  4. Step 4: Simplify right side
    480,596x = 1,047,161,309,481
  5. Step 5: Solve for x
    x = 1,047,161,309,481/480,596
  6. Step 6: Final answer
    x = 2,178,880.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.