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Finding the Third Proportional to 590,020 and 1,293,763

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Solution

The third proportional to 590,020 and 1,293,763 is: 2,836,891.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,020 : 1,293,763 = 1,293,763 : x
  2. Step 2: Convert to fraction form
    590,020/1,293,763 = 1,293,763/x
  3. Step 3: Cross multiply
    590,020x = 1,293,763 × 1,293,763
  4. Step 4: Simplify right side
    590,020x = 1,673,822,700,169
  5. Step 5: Solve for x
    x = 1,673,822,700,169/590,020
  6. Step 6: Final answer
    x = 2,836,891.46

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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.