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Finding the Third Proportional to 755,784 and 1,159,704

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Solution

The third proportional to 755,784 and 1,159,704 is: 1,779,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,784 : 1,159,704 = 1,159,704 : x
  2. Step 2: Convert to fraction form
    755,784/1,159,704 = 1,159,704/x
  3. Step 3: Cross multiply
    755,784x = 1,159,704 × 1,159,704
  4. Step 4: Simplify right side
    755,784x = 1,344,913,367,616
  5. Step 5: Solve for x
    x = 1,344,913,367,616/755,784
  6. Step 6: Final answer
    x = 1,779,494.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.