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Finding the Third Proportional to 916,370 and 2,013,400

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Solution

The third proportional to 916,370 and 2,013,400 is: 4,423,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,370 : 2,013,400 = 2,013,400 : x
  2. Step 2: Convert to fraction form
    916,370/2,013,400 = 2,013,400/x
  3. Step 3: Cross multiply
    916,370x = 2,013,400 × 2,013,400
  4. Step 4: Simplify right side
    916,370x = 4,053,779,560,000
  5. Step 5: Solve for x
    x = 4,053,779,560,000/916,370
  6. Step 6: Final answer
    x = 4,423,736.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.