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Finding the Third Proportional to 443,770 and 972,012

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Solution

The third proportional to 443,770 and 972,012 is: 2,129,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,770 : 972,012 = 972,012 : x
  2. Step 2: Convert to fraction form
    443,770/972,012 = 972,012/x
  3. Step 3: Cross multiply
    443,770x = 972,012 × 972,012
  4. Step 4: Simplify right side
    443,770x = 944,807,328,144
  5. Step 5: Solve for x
    x = 944,807,328,144/443,770
  6. Step 6: Final answer
    x = 2,129,047.32

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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.