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Finding the Third Proportional to 666,435 and 1,465,683

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Solution

The third proportional to 666,435 and 1,465,683 is: 3,223,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,435 : 1,465,683 = 1,465,683 : x
  2. Step 2: Convert to fraction form
    666,435/1,465,683 = 1,465,683/x
  3. Step 3: Cross multiply
    666,435x = 1,465,683 × 1,465,683
  4. Step 4: Simplify right side
    666,435x = 2,148,226,656,489
  5. Step 5: Solve for x
    x = 2,148,226,656,489/666,435
  6. Step 6: Final answer
    x = 3,223,460.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.