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Finding the Third Proportional to 2,401,654.50 and 5,246,541

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Solution

The third proportional to 2,401,654.50 and 5,246,541 is: 11,461,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401,654.50 : 5,246,541 = 5,246,541 : x
  2. Step 2: Convert to fraction form
    2,401,654.50/5,246,541 = 5,246,541/x
  3. Step 3: Cross multiply
    2,401,654.50x = 5,246,541 × 5,246,541
  4. Step 4: Simplify right side
    2,401,654.50x = 27,526,192,464,681
  5. Step 5: Solve for x
    x = 27,526,192,464,681/2,401,654.50
  6. Step 6: Final answer
    x = 11,461,345.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.