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Finding the Third Proportional to 611,585.02 and 1,301,902.03

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Solution

The third proportional to 611,585.02 and 1,301,902.03 is: 2,771,403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,585.02 : 1,301,902.03 = 1,301,902.03 : x
  2. Step 2: Convert to fraction form
    611,585.02/1,301,902.03 = 1,301,902.03/x
  3. Step 3: Cross multiply
    611,585.02x = 1,301,902.03 × 1,301,902.03
  4. Step 4: Simplify right side
    611,585.02x = 1,694,948,898,972.88
  5. Step 5: Solve for x
    x = 1,694,948,898,972.88/611,585.02
  6. Step 6: Final answer
    x = 2,771,403.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.