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Finding the Third Proportional to 462,466.13 and 1,008,750.38

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Solution

The third proportional to 462,466.13 and 1,008,750.38 is: 2,200,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,466.13 : 1,008,750.38 = 1,008,750.38 : x
  2. Step 2: Convert to fraction form
    462,466.13/1,008,750.38 = 1,008,750.38/x
  3. Step 3: Cross multiply
    462,466.13x = 1,008,750.38 × 1,008,750.38
  4. Step 4: Simplify right side
    462,466.13x = 1,017,577,319,062.64
  5. Step 5: Solve for x
    x = 1,017,577,319,062.64/462,466.13
  6. Step 6: Final answer
    x = 2,200,328.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.