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Finding the Third Proportional to 1,578,076 and 2,232,942

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Solution

The third proportional to 1,578,076 and 2,232,942 is: 3,159,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,076 : 2,232,942 = 2,232,942 : x
  2. Step 2: Convert to fraction form
    1,578,076/2,232,942 = 2,232,942/x
  3. Step 3: Cross multiply
    1,578,076x = 2,232,942 × 2,232,942
  4. Step 4: Simplify right side
    1,578,076x = 4,986,029,975,364
  5. Step 5: Solve for x
    x = 4,986,029,975,364/1,578,076
  6. Step 6: Final answer
    x = 3,159,562.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.