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Finding the Third Proportional to 935,424.75 and 1,368,145.13

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Solution

The third proportional to 935,424.75 and 1,368,145.13 is: 2,001,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,424.75 : 1,368,145.13 = 1,368,145.13 : x
  2. Step 2: Convert to fraction form
    935,424.75/1,368,145.13 = 1,368,145.13/x
  3. Step 3: Cross multiply
    935,424.75x = 1,368,145.13 × 1,368,145.13
  4. Step 4: Simplify right side
    935,424.75x = 1,871,821,083,061.27
  5. Step 5: Solve for x
    x = 1,871,821,083,061.27/935,424.75
  6. Step 6: Final answer
    x = 2,001,038.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.