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Finding the Third Proportional to 1,534,305 and 2,301,459

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Solution

The third proportional to 1,534,305 and 2,301,459 is: 3,452,190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,305 : 2,301,459 = 2,301,459 : x
  2. Step 2: Convert to fraction form
    1,534,305/2,301,459 = 2,301,459/x
  3. Step 3: Cross multiply
    1,534,305x = 2,301,459 × 2,301,459
  4. Step 4: Simplify right side
    1,534,305x = 5,296,713,528,681
  5. Step 5: Solve for x
    x = 5,296,713,528,681/1,534,305
  6. Step 6: Final answer
    x = 3,452,190.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.