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Finding the Third Proportional to 443,130 and 966,461

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Solution

The third proportional to 443,130 and 966,461 is: 2,107,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,130 : 966,461 = 966,461 : x
  2. Step 2: Convert to fraction form
    443,130/966,461 = 966,461/x
  3. Step 3: Cross multiply
    443,130x = 966,461 × 966,461
  4. Step 4: Simplify right side
    443,130x = 934,046,864,521
  5. Step 5: Solve for x
    x = 934,046,864,521/443,130
  6. Step 6: Final answer
    x = 2,107,839.38

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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.