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Finding the Third Proportional to 443,769 and 972,013

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Solution

The third proportional to 443,769 and 972,013 is: 2,129,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,769 : 972,013 = 972,013 : x
  2. Step 2: Convert to fraction form
    443,769/972,013 = 972,013/x
  3. Step 3: Cross multiply
    443,769x = 972,013 × 972,013
  4. Step 4: Simplify right side
    443,769x = 944,809,272,169
  5. Step 5: Solve for x
    x = 944,809,272,169/443,769
  6. Step 6: Final answer
    x = 2,129,056.50

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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.