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Finding the Third Proportional to 442,784.13 and 917,074.63

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Solution

The third proportional to 442,784.13 and 917,074.63 is: 1,899,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,784.13 : 917,074.63 = 917,074.63 : x
  2. Step 2: Convert to fraction form
    442,784.13/917,074.63 = 917,074.63/x
  3. Step 3: Cross multiply
    442,784.13x = 917,074.63 × 917,074.63
  4. Step 4: Simplify right side
    442,784.13x = 841,025,867,818.89
  5. Step 5: Solve for x
    x = 841,025,867,818.89/442,784.13
  6. Step 6: Final answer
    x = 1,899,403.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.