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Finding the Third Proportional to 443,466 and 972,778

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Solution

The third proportional to 443,466 and 972,778 is: 2,133,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,466 : 972,778 = 972,778 : x
  2. Step 2: Convert to fraction form
    443,466/972,778 = 972,778/x
  3. Step 3: Cross multiply
    443,466x = 972,778 × 972,778
  4. Step 4: Simplify right side
    443,466x = 946,297,037,284
  5. Step 5: Solve for x
    x = 946,297,037,284/443,466
  6. Step 6: Final answer
    x = 2,133,866.04

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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.