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Finding the Third Proportional to 1,285,700.50 and 2,737,886

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Solution

The third proportional to 1,285,700.50 and 2,737,886 is: 5,830,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,700.50 : 2,737,886 = 2,737,886 : x
  2. Step 2: Convert to fraction form
    1,285,700.50/2,737,886 = 2,737,886/x
  3. Step 3: Cross multiply
    1,285,700.50x = 2,737,886 × 2,737,886
  4. Step 4: Simplify right side
    1,285,700.50x = 7,496,019,748,996
  5. Step 5: Solve for x
    x = 7,496,019,748,996/1,285,700.50
  6. Step 6: Final answer
    x = 5,830,300.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.