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Finding the Third Proportional to 916,717.50 and 1,416,948.19

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Solution

The third proportional to 916,717.50 and 1,416,948.19 is: 2,190,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,717.50 : 1,416,948.19 = 1,416,948.19 : x
  2. Step 2: Convert to fraction form
    916,717.50/1,416,948.19 = 1,416,948.19/x
  3. Step 3: Cross multiply
    916,717.50x = 1,416,948.19 × 1,416,948.19
  4. Step 4: Simplify right side
    916,717.50x = 2,007,742,166,059.54
  5. Step 5: Solve for x
    x = 2,007,742,166,059.54/916,717.50
  6. Step 6: Final answer
    x = 2,190,142.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.