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Finding the Third Proportional to 675,319 and 1,594,117.50

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Solution

The third proportional to 675,319 and 1,594,117.50 is: 3,762,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,319 : 1,594,117.50 = 1,594,117.50 : x
  2. Step 2: Convert to fraction form
    675,319/1,594,117.50 = 1,594,117.50/x
  3. Step 3: Cross multiply
    675,319x = 1,594,117.50 × 1,594,117.50
  4. Step 4: Simplify right side
    675,319x = 2,541,210,603,806.25
  5. Step 5: Solve for x
    x = 2,541,210,603,806.25/675,319
  6. Step 6: Final answer
    x = 3,762,978.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.