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Finding the Third Proportional to 1,825,301 and 2,837,509

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Solution

The third proportional to 1,825,301 and 2,837,509 is: 4,411,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825,301 : 2,837,509 = 2,837,509 : x
  2. Step 2: Convert to fraction form
    1,825,301/2,837,509 = 2,837,509/x
  3. Step 3: Cross multiply
    1,825,301x = 2,837,509 × 2,837,509
  4. Step 4: Simplify right side
    1,825,301x = 8,051,457,325,081
  5. Step 5: Solve for x
    x = 8,051,457,325,081/1,825,301
  6. Step 6: Final answer
    x = 4,411,029.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.