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Finding the Third Proportional to 1,966,063.50 and 2,656,274.63

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Solution

The third proportional to 1,966,063.50 and 2,656,274.63 is: 3,588,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,063.50 : 2,656,274.63 = 2,656,274.63 : x
  2. Step 2: Convert to fraction form
    1,966,063.50/2,656,274.63 = 2,656,274.63/x
  3. Step 3: Cross multiply
    1,966,063.50x = 2,656,274.63 × 2,656,274.63
  4. Step 4: Simplify right side
    1,966,063.50x = 7,055,794,883,418.89
  5. Step 5: Solve for x
    x = 7,055,794,883,418.89/1,966,063.50
  6. Step 6: Final answer
    x = 3,588,792.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.