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Finding the Third Proportional to 649,920.38 and 1,402,598.81

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Solution

The third proportional to 649,920.38 and 1,402,598.81 is: 3,026,960.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,920.38 : 1,402,598.81 = 1,402,598.81 : x
  2. Step 2: Convert to fraction form
    649,920.38/1,402,598.81 = 1,402,598.81/x
  3. Step 3: Cross multiply
    649,920.38x = 1,402,598.81 × 1,402,598.81
  4. Step 4: Simplify right side
    649,920.38x = 1,967,283,428,826.41
  5. Step 5: Solve for x
    x = 1,967,283,428,826.41/649,920.38
  6. Step 6: Final answer
    x = 3,026,960.69

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Why These Related Problems?

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