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Finding the Third Proportional to 560,769 and 841,869

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Solution

The third proportional to 560,769 and 841,869 is: 1,263,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,769 : 841,869 = 841,869 : x
  2. Step 2: Convert to fraction form
    560,769/841,869 = 841,869/x
  3. Step 3: Cross multiply
    560,769x = 841,869 × 841,869
  4. Step 4: Simplify right side
    560,769x = 708,743,413,161
  5. Step 5: Solve for x
    x = 708,743,413,161/560,769
  6. Step 6: Final answer
    x = 1,263,877.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.