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Finding the Third Proportional to 540,407 and 1,175,947

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Solution

The third proportional to 540,407 and 1,175,947 is: 2,558,907.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,407 : 1,175,947 = 1,175,947 : x
  2. Step 2: Convert to fraction form
    540,407/1,175,947 = 1,175,947/x
  3. Step 3: Cross multiply
    540,407x = 1,175,947 × 1,175,947
  4. Step 4: Simplify right side
    540,407x = 1,382,851,346,809
  5. Step 5: Solve for x
    x = 1,382,851,346,809/540,407
  6. Step 6: Final answer
    x = 2,558,907.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.