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Finding the Third Proportional to 644,033 and 1,412,482

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Solution

The third proportional to 644,033 and 1,412,482 is: 3,097,831.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,033 : 1,412,482 = 1,412,482 : x
  2. Step 2: Convert to fraction form
    644,033/1,412,482 = 1,412,482/x
  3. Step 3: Cross multiply
    644,033x = 1,412,482 × 1,412,482
  4. Step 4: Simplify right side
    644,033x = 1,995,105,400,324
  5. Step 5: Solve for x
    x = 1,995,105,400,324/644,033
  6. Step 6: Final answer
    x = 3,097,831.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.