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Finding the Third Proportional to 973,523.25 and 2,130,570

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Solution

The third proportional to 973,523.25 and 2,130,570 is: 4,662,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,523.25 : 2,130,570 = 2,130,570 : x
  2. Step 2: Convert to fraction form
    973,523.25/2,130,570 = 2,130,570/x
  3. Step 3: Cross multiply
    973,523.25x = 2,130,570 × 2,130,570
  4. Step 4: Simplify right side
    973,523.25x = 4,539,328,524,900
  5. Step 5: Solve for x
    x = 4,539,328,524,900/973,523.25
  6. Step 6: Final answer
    x = 4,662,783.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.