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Finding the Third Proportional to 709,170 and 1,536,492

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Solution

The third proportional to 709,170 and 1,536,492 is: 3,328,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,170 : 1,536,492 = 1,536,492 : x
  2. Step 2: Convert to fraction form
    709,170/1,536,492 = 1,536,492/x
  3. Step 3: Cross multiply
    709,170x = 1,536,492 × 1,536,492
  4. Step 4: Simplify right side
    709,170x = 2,360,807,666,064
  5. Step 5: Solve for x
    x = 2,360,807,666,064/709,170
  6. Step 6: Final answer
    x = 3,328,972.84

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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.