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Finding the Third Proportional to 755,534 and 1,643,989

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Solution

The third proportional to 755,534 and 1,643,989 is: 3,577,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,534 : 1,643,989 = 1,643,989 : x
  2. Step 2: Convert to fraction form
    755,534/1,643,989 = 1,643,989/x
  3. Step 3: Cross multiply
    755,534x = 1,643,989 × 1,643,989
  4. Step 4: Simplify right side
    755,534x = 2,702,699,832,121
  5. Step 5: Solve for x
    x = 2,702,699,832,121/755,534
  6. Step 6: Final answer
    x = 3,577,204.77

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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.