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Finding the Third Proportional to 699,900.75 and 1,470,291.75

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Solution

The third proportional to 699,900.75 and 1,470,291.75 is: 3,088,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,900.75 : 1,470,291.75 = 1,470,291.75 : x
  2. Step 2: Convert to fraction form
    699,900.75/1,470,291.75 = 1,470,291.75/x
  3. Step 3: Cross multiply
    699,900.75x = 1,470,291.75 × 1,470,291.75
  4. Step 4: Simplify right side
    699,900.75x = 2,161,757,830,118.06
  5. Step 5: Solve for x
    x = 2,161,757,830,118.06/699,900.75
  6. Step 6: Final answer
    x = 3,088,663.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.