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Finding the Third Proportional to 1,297,283.98 and 2,838,913.95

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Solution

The third proportional to 1,297,283.98 and 2,838,913.95 is: 6,212,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,283.98 : 2,838,913.95 = 2,838,913.95 : x
  2. Step 2: Convert to fraction form
    1,297,283.98/2,838,913.95 = 2,838,913.95/x
  3. Step 3: Cross multiply
    1,297,283.98x = 2,838,913.95 × 2,838,913.95
  4. Step 4: Simplify right side
    1,297,283.98x = 8,059,432,388,889.22
  5. Step 5: Solve for x
    x = 8,059,432,388,889.22/1,297,283.98
  6. Step 6: Final answer
    x = 6,212,542.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.