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Finding the Third Proportional to 550,602 and 1,021,102.50

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Solution

The third proportional to 550,602 and 1,021,102.50 is: 1,893,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,602 : 1,021,102.50 = 1,021,102.50 : x
  2. Step 2: Convert to fraction form
    550,602/1,021,102.50 = 1,021,102.50/x
  3. Step 3: Cross multiply
    550,602x = 1,021,102.50 × 1,021,102.50
  4. Step 4: Simplify right side
    550,602x = 1,042,650,315,506.25
  5. Step 5: Solve for x
    x = 1,042,650,315,506.25/550,602
  6. Step 6: Final answer
    x = 1,893,655.15

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.