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Finding the Third Proportional to 719,424 and 1,459,020

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Solution

The third proportional to 719,424 and 1,459,020 is: 2,958,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,424 : 1,459,020 = 1,459,020 : x
  2. Step 2: Convert to fraction form
    719,424/1,459,020 = 1,459,020/x
  3. Step 3: Cross multiply
    719,424x = 1,459,020 × 1,459,020
  4. Step 4: Simplify right side
    719,424x = 2,128,739,360,400
  5. Step 5: Solve for x
    x = 2,128,739,360,400/719,424
  6. Step 6: Final answer
    x = 2,958,949.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.