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Finding the Third Proportional to 761,886 and 1,205,388

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Solution

The third proportional to 761,886 and 1,205,388 is: 1,907,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,886 : 1,205,388 = 1,205,388 : x
  2. Step 2: Convert to fraction form
    761,886/1,205,388 = 1,205,388/x
  3. Step 3: Cross multiply
    761,886x = 1,205,388 × 1,205,388
  4. Step 4: Simplify right side
    761,886x = 1,452,960,230,544
  5. Step 5: Solve for x
    x = 1,452,960,230,544/761,886
  6. Step 6: Final answer
    x = 1,907,057.26

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.