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Finding the Third Proportional to 992,178 and 2,173,527

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Solution

The third proportional to 992,178 and 2,173,527 is: 4,761,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,178 : 2,173,527 = 2,173,527 : x
  2. Step 2: Convert to fraction form
    992,178/2,173,527 = 2,173,527/x
  3. Step 3: Cross multiply
    992,178x = 2,173,527 × 2,173,527
  4. Step 4: Simplify right side
    992,178x = 4,724,219,619,729
  5. Step 5: Solve for x
    x = 4,724,219,619,729/992,178
  6. Step 6: Final answer
    x = 4,761,463.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.