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Finding the Third Proportional to 985,453 and 2,124,724

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Solution

The third proportional to 985,453 and 2,124,724 is: 4,581,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,453 : 2,124,724 = 2,124,724 : x
  2. Step 2: Convert to fraction form
    985,453/2,124,724 = 2,124,724/x
  3. Step 3: Cross multiply
    985,453x = 2,124,724 × 2,124,724
  4. Step 4: Simplify right side
    985,453x = 4,514,452,076,176
  5. Step 5: Solve for x
    x = 4,514,452,076,176/985,453
  6. Step 6: Final answer
    x = 4,581,093.24

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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.