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Finding the Third Proportional to 905,313 and 1,966,320.75

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Solution

The third proportional to 905,313 and 1,966,320.75 is: 4,270,807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,313 : 1,966,320.75 = 1,966,320.75 : x
  2. Step 2: Convert to fraction form
    905,313/1,966,320.75 = 1,966,320.75/x
  3. Step 3: Cross multiply
    905,313x = 1,966,320.75 × 1,966,320.75
  4. Step 4: Simplify right side
    905,313x = 3,866,417,291,880.56
  5. Step 5: Solve for x
    x = 3,866,417,291,880.56/905,313
  6. Step 6: Final answer
    x = 4,270,807.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.