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Finding the Third Proportional to 1,548,420 and 3,341,784

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Solution

The third proportional to 1,548,420 and 3,341,784 is: 7,212,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548,420 : 3,341,784 = 3,341,784 : x
  2. Step 2: Convert to fraction form
    1,548,420/3,341,784 = 3,341,784/x
  3. Step 3: Cross multiply
    1,548,420x = 3,341,784 × 3,341,784
  4. Step 4: Simplify right side
    1,548,420x = 11,167,520,302,656
  5. Step 5: Solve for x
    x = 11,167,520,302,656/1,548,420
  6. Step 6: Final answer
    x = 7,212,203.60

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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.