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Finding the Third Proportional to 560,770 and 1,233,683

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Solution

The third proportional to 560,770 and 1,233,683 is: 2,714,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,770 : 1,233,683 = 1,233,683 : x
  2. Step 2: Convert to fraction form
    560,770/1,233,683 = 1,233,683/x
  3. Step 3: Cross multiply
    560,770x = 1,233,683 × 1,233,683
  4. Step 4: Simplify right side
    560,770x = 1,521,973,744,489
  5. Step 5: Solve for x
    x = 1,521,973,744,489/560,770
  6. Step 6: Final answer
    x = 2,714,078.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.