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Finding the Third Proportional to 705,089 and 1,074,158

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Solution

The third proportional to 705,089 and 1,074,158 is: 1,636,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,089 : 1,074,158 = 1,074,158 : x
  2. Step 2: Convert to fraction form
    705,089/1,074,158 = 1,074,158/x
  3. Step 3: Cross multiply
    705,089x = 1,074,158 × 1,074,158
  4. Step 4: Simplify right side
    705,089x = 1,153,815,408,964
  5. Step 5: Solve for x
    x = 1,153,815,408,964/705,089
  6. Step 6: Final answer
    x = 1,636,411.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.