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Finding the Third Proportional to 709,003 and 1,074,209

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Solution

The third proportional to 709,003 and 1,074,209 is: 1,627,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,003 : 1,074,209 = 1,074,209 : x
  2. Step 2: Convert to fraction form
    709,003/1,074,209 = 1,074,209/x
  3. Step 3: Cross multiply
    709,003x = 1,074,209 × 1,074,209
  4. Step 4: Simplify right side
    709,003x = 1,153,924,975,681
  5. Step 5: Solve for x
    x = 1,153,924,975,681/709,003
  6. Step 6: Final answer
    x = 1,627,531.87

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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.