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Finding the Third Proportional to 856,060 and 1,854,780

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Solution

The third proportional to 856,060 and 1,854,780 is: 4,018,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,060 : 1,854,780 = 1,854,780 : x
  2. Step 2: Convert to fraction form
    856,060/1,854,780 = 1,854,780/x
  3. Step 3: Cross multiply
    856,060x = 1,854,780 × 1,854,780
  4. Step 4: Simplify right side
    856,060x = 3,440,208,848,400
  5. Step 5: Solve for x
    x = 3,440,208,848,400/856,060
  6. Step 6: Final answer
    x = 4,018,653.89

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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.