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Finding the Third Proportional to 803,145.38 and 1,685,083.50

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Solution

The third proportional to 803,145.38 and 1,685,083.50 is: 3,535,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,145.38 : 1,685,083.50 = 1,685,083.50 : x
  2. Step 2: Convert to fraction form
    803,145.38/1,685,083.50 = 1,685,083.50/x
  3. Step 3: Cross multiply
    803,145.38x = 1,685,083.50 × 1,685,083.50
  4. Step 4: Simplify right side
    803,145.38x = 2,839,506,401,972.25
  5. Step 5: Solve for x
    x = 2,839,506,401,972.25/803,145.38
  6. Step 6: Final answer
    x = 3,535,482.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.