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Finding the Third Proportional to 755,786 and 1,159,707

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Solution

The third proportional to 755,786 and 1,159,707 is: 1,779,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,786 : 1,159,707 = 1,159,707 : x
  2. Step 2: Convert to fraction form
    755,786/1,159,707 = 1,159,707/x
  3. Step 3: Cross multiply
    755,786x = 1,159,707 × 1,159,707
  4. Step 4: Simplify right side
    755,786x = 1,344,920,325,849
  5. Step 5: Solve for x
    x = 1,344,920,325,849/755,786
  6. Step 6: Final answer
    x = 1,779,498.86

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