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Finding the Third Proportional to 973,524 and 2,130,570.75

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Solution

The third proportional to 973,524 and 2,130,570.75 is: 4,662,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,524 : 2,130,570.75 = 2,130,570.75 : x
  2. Step 2: Convert to fraction form
    973,524/2,130,570.75 = 2,130,570.75/x
  3. Step 3: Cross multiply
    973,524x = 2,130,570.75 × 2,130,570.75
  4. Step 4: Simplify right side
    973,524x = 4,539,331,720,755.56
  5. Step 5: Solve for x
    x = 4,539,331,720,755.56/973,524
  6. Step 6: Final answer
    x = 4,662,783.58

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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.