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Finding the Third Proportional to 709,168 and 1,536,488

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Solution

The third proportional to 709,168 and 1,536,488 is: 3,328,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,168 : 1,536,488 = 1,536,488 : x
  2. Step 2: Convert to fraction form
    709,168/1,536,488 = 1,536,488/x
  3. Step 3: Cross multiply
    709,168x = 1,536,488 × 1,536,488
  4. Step 4: Simplify right side
    709,168x = 2,360,795,374,144
  5. Step 5: Solve for x
    x = 2,360,795,374,144/709,168
  6. Step 6: Final answer
    x = 3,328,964.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.