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Finding the Third Proportional to 1,154,166.75 and 1,980,356.63

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Solution

The third proportional to 1,154,166.75 and 1,980,356.63 is: 3,397,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,166.75 : 1,980,356.63 = 1,980,356.63 : x
  2. Step 2: Convert to fraction form
    1,154,166.75/1,980,356.63 = 1,980,356.63/x
  3. Step 3: Cross multiply
    1,154,166.75x = 1,980,356.63 × 1,980,356.63
  4. Step 4: Simplify right side
    1,154,166.75x = 3,921,812,362,181.39
  5. Step 5: Solve for x
    x = 3,921,812,362,181.39/1,154,166.75
  6. Step 6: Final answer
    x = 3,397,959.92

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.