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Finding the Third Proportional to 1,749,654 and 2,702,007

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Solution

The third proportional to 1,749,654 and 2,702,007 is: 4,172,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,654 : 2,702,007 = 2,702,007 : x
  2. Step 2: Convert to fraction form
    1,749,654/2,702,007 = 2,702,007/x
  3. Step 3: Cross multiply
    1,749,654x = 2,702,007 × 2,702,007
  4. Step 4: Simplify right side
    1,749,654x = 7,300,841,828,049
  5. Step 5: Solve for x
    x = 7,300,841,828,049/1,749,654
  6. Step 6: Final answer
    x = 4,172,734.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.