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Finding the Third Proportional to 443,423 and 972,685

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Solution

The third proportional to 443,423 and 972,685 is: 2,133,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,423 : 972,685 = 972,685 : x
  2. Step 2: Convert to fraction form
    443,423/972,685 = 972,685/x
  3. Step 3: Cross multiply
    443,423x = 972,685 × 972,685
  4. Step 4: Simplify right side
    443,423x = 946,116,109,225
  5. Step 5: Solve for x
    x = 946,116,109,225/443,423
  6. Step 6: Final answer
    x = 2,133,664.94

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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.