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Finding the Third Proportional to 646,795.50 and 1,406,844

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Solution

The third proportional to 646,795.50 and 1,406,844 is: 3,060,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,795.50 : 1,406,844 = 1,406,844 : x
  2. Step 2: Convert to fraction form
    646,795.50/1,406,844 = 1,406,844/x
  3. Step 3: Cross multiply
    646,795.50x = 1,406,844 × 1,406,844
  4. Step 4: Simplify right side
    646,795.50x = 1,979,210,040,336
  5. Step 5: Solve for x
    x = 1,979,210,040,336/646,795.50
  6. Step 6: Final answer
    x = 3,060,024.44

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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.