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Finding the Third Proportional to 1,402,657.50 and 3,029,517

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Solution

The third proportional to 1,402,657.50 and 3,029,517 is: 6,543,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,657.50 : 3,029,517 = 3,029,517 : x
  2. Step 2: Convert to fraction form
    1,402,657.50/3,029,517 = 3,029,517/x
  3. Step 3: Cross multiply
    1,402,657.50x = 3,029,517 × 3,029,517
  4. Step 4: Simplify right side
    1,402,657.50x = 9,177,973,253,289
  5. Step 5: Solve for x
    x = 9,177,973,253,289/1,402,657.50
  6. Step 6: Final answer
    x = 6,543,274.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.