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Finding the Third Proportional to 1,929,857.50 and 2,838,653

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Solution

The third proportional to 1,929,857.50 and 2,838,653 is: 4,175,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,857.50 : 2,838,653 = 2,838,653 : x
  2. Step 2: Convert to fraction form
    1,929,857.50/2,838,653 = 2,838,653/x
  3. Step 3: Cross multiply
    1,929,857.50x = 2,838,653 × 2,838,653
  4. Step 4: Simplify right side
    1,929,857.50x = 8,057,950,854,409
  5. Step 5: Solve for x
    x = 8,057,950,854,409/1,929,857.50
  6. Step 6: Final answer
    x = 4,175,412.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.