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Finding the Third Proportional to 1,772,527 and 3,865,867.75

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Solution

The third proportional to 1,772,527 and 3,865,867.75 is: 8,431,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772,527 : 3,865,867.75 = 3,865,867.75 : x
  2. Step 2: Convert to fraction form
    1,772,527/3,865,867.75 = 3,865,867.75/x
  3. Step 3: Cross multiply
    1,772,527x = 3,865,867.75 × 3,865,867.75
  4. Step 4: Simplify right side
    1,772,527x = 14,944,933,460,490.06
  5. Step 5: Solve for x
    x = 14,944,933,460,490.06/1,772,527
  6. Step 6: Final answer
    x = 8,431,427.82

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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.