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Finding the Third Proportional to 492,528 and 1,063,785

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Solution

The third proportional to 492,528 and 1,063,785 is: 2,297,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,528 : 1,063,785 = 1,063,785 : x
  2. Step 2: Convert to fraction form
    492,528/1,063,785 = 1,063,785/x
  3. Step 3: Cross multiply
    492,528x = 1,063,785 × 1,063,785
  4. Step 4: Simplify right side
    492,528x = 1,131,638,526,225
  5. Step 5: Solve for x
    x = 1,131,638,526,225/492,528
  6. Step 6: Final answer
    x = 2,297,612.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.