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Finding the Third Proportional to 676,651.50 and 1,409,283

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Solution

The third proportional to 676,651.50 and 1,409,283 is: 2,935,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,651.50 : 1,409,283 = 1,409,283 : x
  2. Step 2: Convert to fraction form
    676,651.50/1,409,283 = 1,409,283/x
  3. Step 3: Cross multiply
    676,651.50x = 1,409,283 × 1,409,283
  4. Step 4: Simplify right side
    676,651.50x = 1,986,078,574,089
  5. Step 5: Solve for x
    x = 1,986,078,574,089/676,651.50
  6. Step 6: Final answer
    x = 2,935,157.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.