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Finding the Third Proportional to 1,783,913 and 2,543,007

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Solution

The third proportional to 1,783,913 and 2,543,007 is: 3,625,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783,913 : 2,543,007 = 2,543,007 : x
  2. Step 2: Convert to fraction form
    1,783,913/2,543,007 = 2,543,007/x
  3. Step 3: Cross multiply
    1,783,913x = 2,543,007 × 2,543,007
  4. Step 4: Simplify right side
    1,783,913x = 6,466,884,602,049
  5. Step 5: Solve for x
    x = 6,466,884,602,049/1,783,913
  6. Step 6: Final answer
    x = 3,625,112.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.