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Finding the Third Proportional to 869,282 and 1,329,752

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Solution

The third proportional to 869,282 and 1,329,752 is: 2,034,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,282 : 1,329,752 = 1,329,752 : x
  2. Step 2: Convert to fraction form
    869,282/1,329,752 = 1,329,752/x
  3. Step 3: Cross multiply
    869,282x = 1,329,752 × 1,329,752
  4. Step 4: Simplify right side
    869,282x = 1,768,240,381,504
  5. Step 5: Solve for x
    x = 1,768,240,381,504/869,282
  6. Step 6: Final answer
    x = 2,034,138.96

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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.