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Finding the Third Proportional to 648,357 and 1,041,735

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Solution

The third proportional to 648,357 and 1,041,735 is: 1,673,787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,357 : 1,041,735 = 1,041,735 : x
  2. Step 2: Convert to fraction form
    648,357/1,041,735 = 1,041,735/x
  3. Step 3: Cross multiply
    648,357x = 1,041,735 × 1,041,735
  4. Step 4: Simplify right side
    648,357x = 1,085,211,810,225
  5. Step 5: Solve for x
    x = 1,085,211,810,225/648,357
  6. Step 6: Final answer
    x = 1,673,787.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.