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Finding the Third Proportional to 1,577,824 and 3,407,972

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Solution

The third proportional to 1,577,824 and 3,407,972 is: 7,360,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,824 : 3,407,972 = 3,407,972 : x
  2. Step 2: Convert to fraction form
    1,577,824/3,407,972 = 3,407,972/x
  3. Step 3: Cross multiply
    1,577,824x = 3,407,972 × 3,407,972
  4. Step 4: Simplify right side
    1,577,824x = 11,614,273,152,784
  5. Step 5: Solve for x
    x = 11,614,273,152,784/1,577,824
  6. Step 6: Final answer
    x = 7,360,943.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.