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Finding the Third Proportional to 559,658 and 1,224,292

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Solution

The third proportional to 559,658 and 1,224,292 is: 2,678,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,658 : 1,224,292 = 1,224,292 : x
  2. Step 2: Convert to fraction form
    559,658/1,224,292 = 1,224,292/x
  3. Step 3: Cross multiply
    559,658x = 1,224,292 × 1,224,292
  4. Step 4: Simplify right side
    559,658x = 1,498,890,901,264
  5. Step 5: Solve for x
    x = 1,498,890,901,264/559,658
  6. Step 6: Final answer
    x = 2,678,226.53

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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.