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Finding the Third Proportional to 649,913.63 and 1,402,585.03

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Solution

The third proportional to 649,913.63 and 1,402,585.03 is: 3,026,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,913.63 : 1,402,585.03 = 1,402,585.03 : x
  2. Step 2: Convert to fraction form
    649,913.63/1,402,585.03 = 1,402,585.03/x
  3. Step 3: Cross multiply
    649,913.63x = 1,402,585.03 × 1,402,585.03
  4. Step 4: Simplify right side
    649,913.63x = 1,967,244,769,886.56
  5. Step 5: Solve for x
    x = 1,967,244,769,886.56/649,913.63
  6. Step 6: Final answer
    x = 3,026,932.65

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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.