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Finding the Third Proportional to 671,902.59 and 1,461,888

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Solution

The third proportional to 671,902.59 and 1,461,888 is: 3,180,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,902.59 : 1,461,888 = 1,461,888 : x
  2. Step 2: Convert to fraction form
    671,902.59/1,461,888 = 1,461,888/x
  3. Step 3: Cross multiply
    671,902.59x = 1,461,888 × 1,461,888
  4. Step 4: Simplify right side
    671,902.59x = 2,137,116,524,544
  5. Step 5: Solve for x
    x = 2,137,116,524,544/671,902.59
  6. Step 6: Final answer
    x = 3,180,693.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.