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Finding the Third Proportional to 683,030.81 and 1,019,010.38

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Solution

The third proportional to 683,030.81 and 1,019,010.38 is: 1,520,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,030.81 : 1,019,010.38 = 1,019,010.38 : x
  2. Step 2: Convert to fraction form
    683,030.81/1,019,010.38 = 1,019,010.38/x
  3. Step 3: Cross multiply
    683,030.81x = 1,019,010.38 × 1,019,010.38
  4. Step 4: Simplify right side
    683,030.81x = 1,038,382,144,357.64
  5. Step 5: Solve for x
    x = 1,038,382,144,357.64/683,030.81
  6. Step 6: Final answer
    x = 1,520,256.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.