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Finding the Third Proportional to 811,141.50 and 1,877,740.50

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Solution

The third proportional to 811,141.50 and 1,877,740.50 is: 4,346,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,141.50 : 1,877,740.50 = 1,877,740.50 : x
  2. Step 2: Convert to fraction form
    811,141.50/1,877,740.50 = 1,877,740.50/x
  3. Step 3: Cross multiply
    811,141.50x = 1,877,740.50 × 1,877,740.50
  4. Step 4: Simplify right side
    811,141.50x = 3,525,909,385,340.25
  5. Step 5: Solve for x
    x = 3,525,909,385,340.25/811,141.50
  6. Step 6: Final answer
    x = 4,346,848.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.