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Finding the Third Proportional to 811,464 and 1,762,896

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Solution

The third proportional to 811,464 and 1,762,896 is: 3,829,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,464 : 1,762,896 = 1,762,896 : x
  2. Step 2: Convert to fraction form
    811,464/1,762,896 = 1,762,896/x
  3. Step 3: Cross multiply
    811,464x = 1,762,896 × 1,762,896
  4. Step 4: Simplify right side
    811,464x = 3,107,802,306,816
  5. Step 5: Solve for x
    x = 3,107,802,306,816/811,464
  6. Step 6: Final answer
    x = 3,829,870.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.