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Finding the Third Proportional to 1,597,117.50 and 3,483,306.28

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Solution

The third proportional to 1,597,117.50 and 3,483,306.28 is: 7,597,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,117.50 : 3,483,306.28 = 3,483,306.28 : x
  2. Step 2: Convert to fraction form
    1,597,117.50/3,483,306.28 = 3,483,306.28/x
  3. Step 3: Cross multiply
    1,597,117.50x = 3,483,306.28 × 3,483,306.28
  4. Step 4: Simplify right side
    1,597,117.50x = 12,133,422,648,995.70
  5. Step 5: Solve for x
    x = 12,133,422,648,995.70/1,597,117.50
  6. Step 6: Final answer
    x = 7,597,075.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.