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Finding the Third Proportional to 452,765 and 942,709

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Solution

The third proportional to 452,765 and 942,709 is: 1,962,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,765 : 942,709 = 942,709 : x
  2. Step 2: Convert to fraction form
    452,765/942,709 = 942,709/x
  3. Step 3: Cross multiply
    452,765x = 942,709 × 942,709
  4. Step 4: Simplify right side
    452,765x = 888,700,258,681
  5. Step 5: Solve for x
    x = 888,700,258,681/452,765
  6. Step 6: Final answer
    x = 1,962,828.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.