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Finding the Third Proportional to 559,020 and 1,206,564

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Solution

The third proportional to 559,020 and 1,206,564 is: 2,604,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,020 : 1,206,564 = 1,206,564 : x
  2. Step 2: Convert to fraction form
    559,020/1,206,564 = 1,206,564/x
  3. Step 3: Cross multiply
    559,020x = 1,206,564 × 1,206,564
  4. Step 4: Simplify right side
    559,020x = 1,455,796,686,096
  5. Step 5: Solve for x
    x = 1,455,796,686,096/559,020
  6. Step 6: Final answer
    x = 2,604,194.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.