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Finding the Third Proportional to 1,956,946 and 2,986,032

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Solution

The third proportional to 1,956,946 and 2,986,032 is: 4,556,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956,946 : 2,986,032 = 2,986,032 : x
  2. Step 2: Convert to fraction form
    1,956,946/2,986,032 = 2,986,032/x
  3. Step 3: Cross multiply
    1,956,946x = 2,986,032 × 2,986,032
  4. Step 4: Simplify right side
    1,956,946x = 8,916,387,105,024
  5. Step 5: Solve for x
    x = 8,916,387,105,024/1,956,946
  6. Step 6: Final answer
    x = 4,556,276.52

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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.