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Finding the Third Proportional to 972,962.98 and 2,129,185.46

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Solution

The third proportional to 972,962.98 and 2,129,185.46 is: 4,659,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,962.98 : 2,129,185.46 = 2,129,185.46 : x
  2. Step 2: Convert to fraction form
    972,962.98/2,129,185.46 = 2,129,185.46/x
  3. Step 3: Cross multiply
    972,962.98x = 2,129,185.46 × 2,129,185.46
  4. Step 4: Simplify right side
    972,962.98x = 4,533,430,718,750.18
  5. Step 5: Solve for x
    x = 4,533,430,718,750.18/972,962.98
  6. Step 6: Final answer
    x = 4,659,407.19

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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.