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Finding the Third Proportional to 413,632 and 857,984

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Solution

The third proportional to 413,632 and 857,984 is: 1,779,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,632 : 857,984 = 857,984 : x
  2. Step 2: Convert to fraction form
    413,632/857,984 = 857,984/x
  3. Step 3: Cross multiply
    413,632x = 857,984 × 857,984
  4. Step 4: Simplify right side
    413,632x = 736,136,544,256
  5. Step 5: Solve for x
    x = 736,136,544,256/413,632
  6. Step 6: Final answer
    x = 1,779,689.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.