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Finding the Third Proportional to 673,206 and 1,440,973.50

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Solution

The third proportional to 673,206 and 1,440,973.50 is: 3,084,352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,206 : 1,440,973.50 = 1,440,973.50 : x
  2. Step 2: Convert to fraction form
    673,206/1,440,973.50 = 1,440,973.50/x
  3. Step 3: Cross multiply
    673,206x = 1,440,973.50 × 1,440,973.50
  4. Step 4: Simplify right side
    673,206x = 2,076,404,627,702.25
  5. Step 5: Solve for x
    x = 2,076,404,627,702.25/673,206
  6. Step 6: Final answer
    x = 3,084,352.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.