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Finding the Third Proportional to 1,953,144 and 2,986,008

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Solution

The third proportional to 1,953,144 and 2,986,008 is: 4,565,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953,144 : 2,986,008 = 2,986,008 : x
  2. Step 2: Convert to fraction form
    1,953,144/2,986,008 = 2,986,008/x
  3. Step 3: Cross multiply
    1,953,144x = 2,986,008 × 2,986,008
  4. Step 4: Simplify right side
    1,953,144x = 8,916,243,776,064
  5. Step 5: Solve for x
    x = 8,916,243,776,064/1,953,144
  6. Step 6: Final answer
    x = 4,565,072.40

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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.