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Finding the Third Proportional to 650,547.70 and 1,409,694.89

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Solution

The third proportional to 650,547.70 and 1,409,694.89 is: 3,054,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,547.70 : 1,409,694.89 = 1,409,694.89 : x
  2. Step 2: Convert to fraction form
    650,547.70/1,409,694.89 = 1,409,694.89/x
  3. Step 3: Cross multiply
    650,547.70x = 1,409,694.89 × 1,409,694.89
  4. Step 4: Simplify right side
    650,547.70x = 1,987,239,684,654.23
  5. Step 5: Solve for x
    x = 1,987,239,684,654.23/650,547.70
  6. Step 6: Final answer
    x = 3,054,717.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.