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Finding the Third Proportional to 761,477 and 1,142,379

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Solution

The third proportional to 761,477 and 1,142,379 is: 1,713,813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,477 : 1,142,379 = 1,142,379 : x
  2. Step 2: Convert to fraction form
    761,477/1,142,379 = 1,142,379/x
  3. Step 3: Cross multiply
    761,477x = 1,142,379 × 1,142,379
  4. Step 4: Simplify right side
    761,477x = 1,305,029,779,641
  5. Step 5: Solve for x
    x = 1,305,029,779,641/761,477
  6. Step 6: Final answer
    x = 1,713,813.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.