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Finding the Third Proportional to 2,359,602 and 3,643,713

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Solution

The third proportional to 2,359,602 and 3,643,713 is: 5,626,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359,602 : 3,643,713 = 3,643,713 : x
  2. Step 2: Convert to fraction form
    2,359,602/3,643,713 = 3,643,713/x
  3. Step 3: Cross multiply
    2,359,602x = 3,643,713 × 3,643,713
  4. Step 4: Simplify right side
    2,359,602x = 13,276,644,426,369
  5. Step 5: Solve for x
    x = 13,276,644,426,369/2,359,602
  6. Step 6: Final answer
    x = 5,626,645.69

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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.