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Finding the Third Proportional to 1,578,123 and 3,353,076

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Solution

The third proportional to 1,578,123 and 3,353,076 is: 7,124,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,123 : 3,353,076 = 3,353,076 : x
  2. Step 2: Convert to fraction form
    1,578,123/3,353,076 = 3,353,076/x
  3. Step 3: Cross multiply
    1,578,123x = 3,353,076 × 3,353,076
  4. Step 4: Simplify right side
    1,578,123x = 11,243,118,661,776
  5. Step 5: Solve for x
    x = 11,243,118,661,776/1,578,123
  6. Step 6: Final answer
    x = 7,124,361.45

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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.