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Finding the Third Proportional to 776,545 and 1,661,043

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Solution

The third proportional to 776,545 and 1,661,043 is: 3,552,999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,545 : 1,661,043 = 1,661,043 : x
  2. Step 2: Convert to fraction form
    776,545/1,661,043 = 1,661,043/x
  3. Step 3: Cross multiply
    776,545x = 1,661,043 × 1,661,043
  4. Step 4: Simplify right side
    776,545x = 2,759,063,847,849
  5. Step 5: Solve for x
    x = 2,759,063,847,849/776,545
  6. Step 6: Final answer
    x = 3,552,999.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.