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Finding the Third Proportional to 1,657,897 and 2,560,105.50

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Solution

The third proportional to 1,657,897 and 2,560,105.50 is: 3,953,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,897 : 2,560,105.50 = 2,560,105.50 : x
  2. Step 2: Convert to fraction form
    1,657,897/2,560,105.50 = 2,560,105.50/x
  3. Step 3: Cross multiply
    1,657,897x = 2,560,105.50 × 2,560,105.50
  4. Step 4: Simplify right side
    1,657,897x = 6,554,140,171,130.25
  5. Step 5: Solve for x
    x = 6,554,140,171,130.25/1,657,897
  6. Step 6: Final answer
    x = 3,953,285.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.