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Finding the Third Proportional to 458,685 and 1,036,289.25

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Solution

The third proportional to 458,685 and 1,036,289.25 is: 2,341,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,685 : 1,036,289.25 = 1,036,289.25 : x
  2. Step 2: Convert to fraction form
    458,685/1,036,289.25 = 1,036,289.25/x
  3. Step 3: Cross multiply
    458,685x = 1,036,289.25 × 1,036,289.25
  4. Step 4: Simplify right side
    458,685x = 1,073,895,409,665.56
  5. Step 5: Solve for x
    x = 1,073,895,409,665.56/458,685
  6. Step 6: Final answer
    x = 2,341,248.15

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.