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Finding the Third Proportional to 1,105,261 and 1,757,534.50

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Solution

The third proportional to 1,105,261 and 1,757,534.50 is: 2,794,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,261 : 1,757,534.50 = 1,757,534.50 : x
  2. Step 2: Convert to fraction form
    1,105,261/1,757,534.50 = 1,757,534.50/x
  3. Step 3: Cross multiply
    1,105,261x = 1,757,534.50 × 1,757,534.50
  4. Step 4: Simplify right side
    1,105,261x = 3,088,927,518,690.25
  5. Step 5: Solve for x
    x = 3,088,927,518,690.25/1,105,261
  6. Step 6: Final answer
    x = 2,794,749.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.