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Finding the Third Proportional to 1,689,913.13 and 3,757,653.28

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Solution

The third proportional to 1,689,913.13 and 3,757,653.28 is: 8,355,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,913.13 : 3,757,653.28 = 3,757,653.28 : x
  2. Step 2: Convert to fraction form
    1,689,913.13/3,757,653.28 = 3,757,653.28/x
  3. Step 3: Cross multiply
    1,689,913.13x = 3,757,653.28 × 3,757,653.28
  4. Step 4: Simplify right side
    1,689,913.13x = 14,119,958,182,088.89
  5. Step 5: Solve for x
    x = 14,119,958,182,088.89/1,689,913.13
  6. Step 6: Final answer
    x = 8,355,434.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.