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Finding the Third Proportional to 916,035 and 1,346,683.50

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Solution

The third proportional to 916,035 and 1,346,683.50 is: 1,979,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,035 : 1,346,683.50 = 1,346,683.50 : x
  2. Step 2: Convert to fraction form
    916,035/1,346,683.50 = 1,346,683.50/x
  3. Step 3: Cross multiply
    916,035x = 1,346,683.50 × 1,346,683.50
  4. Step 4: Simplify right side
    916,035x = 1,813,556,449,172.25
  5. Step 5: Solve for x
    x = 1,813,556,449,172.25/916,035
  6. Step 6: Final answer
    x = 1,979,789.47

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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.