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Finding the Third Proportional to 443,526 and 953,472

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Solution

The third proportional to 443,526 and 953,472 is: 2,049,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,526 : 953,472 = 953,472 : x
  2. Step 2: Convert to fraction form
    443,526/953,472 = 953,472/x
  3. Step 3: Cross multiply
    443,526x = 953,472 × 953,472
  4. Step 4: Simplify right side
    443,526x = 909,108,854,784
  5. Step 5: Solve for x
    x = 909,108,854,784/443,526
  6. Step 6: Final answer
    x = 2,049,730.69

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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.