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Finding the Third Proportional to 1,291,968 and 1,983,148

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Solution

The third proportional to 1,291,968 and 1,983,148 is: 3,044,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,968 : 1,983,148 = 1,983,148 : x
  2. Step 2: Convert to fraction form
    1,291,968/1,983,148 = 1,983,148/x
  3. Step 3: Cross multiply
    1,291,968x = 1,983,148 × 1,983,148
  4. Step 4: Simplify right side
    1,291,968x = 3,932,875,989,904
  5. Step 5: Solve for x
    x = 3,932,875,989,904/1,291,968
  6. Step 6: Final answer
    x = 3,044,097.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.