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Finding the Third Proportional to 423,194.63 and 912,821.91

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Solution

The third proportional to 423,194.63 and 912,821.91 is: 1,968,937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,194.63 : 912,821.91 = 912,821.91 : x
  2. Step 2: Convert to fraction form
    423,194.63/912,821.91 = 912,821.91/x
  3. Step 3: Cross multiply
    423,194.63x = 912,821.91 × 912,821.91
  4. Step 4: Simplify right side
    423,194.63x = 833,243,832,529.88
  5. Step 5: Solve for x
    x = 833,243,832,529.88/423,194.63
  6. Step 6: Final answer
    x = 1,968,937.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.