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Finding the Third Proportional to 765,726 and 1,683,570

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Solution

The third proportional to 765,726 and 1,683,570 is: 3,701,595.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,726 : 1,683,570 = 1,683,570 : x
  2. Step 2: Convert to fraction form
    765,726/1,683,570 = 1,683,570/x
  3. Step 3: Cross multiply
    765,726x = 1,683,570 × 1,683,570
  4. Step 4: Simplify right side
    765,726x = 2,834,407,944,900
  5. Step 5: Solve for x
    x = 2,834,407,944,900/765,726
  6. Step 6: Final answer
    x = 3,701,595.54

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