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Finding the Third Proportional to 532,984 and 1,145,024

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Solution

The third proportional to 532,984 and 1,145,024 is: 2,459,886.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,984 : 1,145,024 = 1,145,024 : x
  2. Step 2: Convert to fraction form
    532,984/1,145,024 = 1,145,024/x
  3. Step 3: Cross multiply
    532,984x = 1,145,024 × 1,145,024
  4. Step 4: Simplify right side
    532,984x = 1,311,079,960,576
  5. Step 5: Solve for x
    x = 1,311,079,960,576/532,984
  6. Step 6: Final answer
    x = 2,459,886.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.