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Finding the Third Proportional to 882,724.50 and 1,871,376

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Solution

The third proportional to 882,724.50 and 1,871,376 is: 3,967,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,724.50 : 1,871,376 = 1,871,376 : x
  2. Step 2: Convert to fraction form
    882,724.50/1,871,376 = 1,871,376/x
  3. Step 3: Cross multiply
    882,724.50x = 1,871,376 × 1,871,376
  4. Step 4: Simplify right side
    882,724.50x = 3,502,048,133,376
  5. Step 5: Solve for x
    x = 3,502,048,133,376/882,724.50
  6. Step 6: Final answer
    x = 3,967,317.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.