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Finding the Third Proportional to 443,764 and 972,004

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Solution

The third proportional to 443,764 and 972,004 is: 2,129,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,764 : 972,004 = 972,004 : x
  2. Step 2: Convert to fraction form
    443,764/972,004 = 972,004/x
  3. Step 3: Cross multiply
    443,764x = 972,004 × 972,004
  4. Step 4: Simplify right side
    443,764x = 944,791,776,016
  5. Step 5: Solve for x
    x = 944,791,776,016/443,764
  6. Step 6: Final answer
    x = 2,129,041.06

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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.