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Finding the Third Proportional to 1,159,932 and 1,774,566

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Solution

The third proportional to 1,159,932 and 1,774,566 is: 2,714,887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,932 : 1,774,566 = 1,774,566 : x
  2. Step 2: Convert to fraction form
    1,159,932/1,774,566 = 1,774,566/x
  3. Step 3: Cross multiply
    1,159,932x = 1,774,566 × 1,774,566
  4. Step 4: Simplify right side
    1,159,932x = 3,149,084,488,356
  5. Step 5: Solve for x
    x = 3,149,084,488,356/1,159,932
  6. Step 6: Final answer
    x = 2,714,887.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.