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Finding the Third Proportional to 2,032,627.50 and 2,709,848.25

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Solution

The third proportional to 2,032,627.50 and 2,709,848.25 is: 3,612,702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,627.50 : 2,709,848.25 = 2,709,848.25 : x
  2. Step 2: Convert to fraction form
    2,032,627.50/2,709,848.25 = 2,709,848.25/x
  3. Step 3: Cross multiply
    2,032,627.50x = 2,709,848.25 × 2,709,848.25
  4. Step 4: Simplify right side
    2,032,627.50x = 7,343,277,538,028.06
  5. Step 5: Solve for x
    x = 7,343,277,538,028.06/2,032,627.50
  6. Step 6: Final answer
    x = 3,612,702.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.