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Finding the Third Proportional to 666,724 and 1,470,536

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Solution

The third proportional to 666,724 and 1,470,536 is: 3,243,435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,724 : 1,470,536 = 1,470,536 : x
  2. Step 2: Convert to fraction form
    666,724/1,470,536 = 1,470,536/x
  3. Step 3: Cross multiply
    666,724x = 1,470,536 × 1,470,536
  4. Step 4: Simplify right side
    666,724x = 2,162,476,127,296
  5. Step 5: Solve for x
    x = 2,162,476,127,296/666,724
  6. Step 6: Final answer
    x = 3,243,435.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.