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Finding the Third Proportional to 916,089.75 and 1,346,766.75

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Solution

The third proportional to 916,089.75 and 1,346,766.75 is: 1,979,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,089.75 : 1,346,766.75 = 1,346,766.75 : x
  2. Step 2: Convert to fraction form
    916,089.75/1,346,766.75 = 1,346,766.75/x
  3. Step 3: Cross multiply
    916,089.75x = 1,346,766.75 × 1,346,766.75
  4. Step 4: Simplify right side
    916,089.75x = 1,813,780,678,905.56
  5. Step 5: Solve for x
    x = 1,813,780,678,905.56/916,089.75
  6. Step 6: Final answer
    x = 1,979,915.92

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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.