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Finding the Third Proportional to 750,947 and 1,555,097

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Solution

The third proportional to 750,947 and 1,555,097 is: 3,220,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,947 : 1,555,097 = 1,555,097 : x
  2. Step 2: Convert to fraction form
    750,947/1,555,097 = 1,555,097/x
  3. Step 3: Cross multiply
    750,947x = 1,555,097 × 1,555,097
  4. Step 4: Simplify right side
    750,947x = 2,418,326,679,409
  5. Step 5: Solve for x
    x = 2,418,326,679,409/750,947
  6. Step 6: Final answer
    x = 3,220,369.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.