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Finding the Third Proportional to 460,572 and 1,085,682

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Solution

The third proportional to 460,572 and 1,085,682 is: 2,559,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,572 : 1,085,682 = 1,085,682 : x
  2. Step 2: Convert to fraction form
    460,572/1,085,682 = 1,085,682/x
  3. Step 3: Cross multiply
    460,572x = 1,085,682 × 1,085,682
  4. Step 4: Simplify right side
    460,572x = 1,178,705,405,124
  5. Step 5: Solve for x
    x = 1,178,705,405,124/460,572
  6. Step 6: Final answer
    x = 2,559,220.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.