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Finding the Third Proportional to 460,562.63 and 999,403.88

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Solution

The third proportional to 460,562.63 and 999,403.88 is: 2,168,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,562.63 : 999,403.88 = 999,403.88 : x
  2. Step 2: Convert to fraction form
    460,562.63/999,403.88 = 999,403.88/x
  3. Step 3: Cross multiply
    460,562.63x = 999,403.88 × 999,403.88
  4. Step 4: Simplify right side
    460,562.63x = 998,808,105,365.02
  5. Step 5: Solve for x
    x = 998,808,105,365.02/460,562.63
  6. Step 6: Final answer
    x = 2,168,669.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.