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Finding the Third Proportional to 1,810,140.75 and 2,683,897.88

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Solution

The third proportional to 1,810,140.75 and 2,683,897.88 is: 3,979,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810,140.75 : 2,683,897.88 = 2,683,897.88 : x
  2. Step 2: Convert to fraction form
    1,810,140.75/2,683,897.88 = 2,683,897.88/x
  3. Step 3: Cross multiply
    1,810,140.75x = 2,683,897.88 × 2,683,897.88
  4. Step 4: Simplify right side
    1,810,140.75x = 7,203,307,803,429.52
  5. Step 5: Solve for x
    x = 7,203,307,803,429.52/1,810,140.75
  6. Step 6: Final answer
    x = 3,979,418.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.