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Finding the Third Proportional to 652,020 and 1,412,564

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Solution

The third proportional to 652,020 and 1,412,564 is: 3,060,239.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,020 : 1,412,564 = 1,412,564 : x
  2. Step 2: Convert to fraction form
    652,020/1,412,564 = 1,412,564/x
  3. Step 3: Cross multiply
    652,020x = 1,412,564 × 1,412,564
  4. Step 4: Simplify right side
    652,020x = 1,995,337,054,096
  5. Step 5: Solve for x
    x = 1,995,337,054,096/652,020
  6. Step 6: Final answer
    x = 3,060,239.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.