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Finding the Third Proportional to 1,171,036.75 and 1,746,840

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Solution

The third proportional to 1,171,036.75 and 1,746,840 is: 2,605,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,036.75 : 1,746,840 = 1,746,840 : x
  2. Step 2: Convert to fraction form
    1,171,036.75/1,746,840 = 1,746,840/x
  3. Step 3: Cross multiply
    1,171,036.75x = 1,746,840 × 1,746,840
  4. Step 4: Simplify right side
    1,171,036.75x = 3,051,449,985,600
  5. Step 5: Solve for x
    x = 3,051,449,985,600/1,171,036.75
  6. Step 6: Final answer
    x = 2,605,767.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.