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Finding the Third Proportional to 984,184 and 2,153,531

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Solution

The third proportional to 984,184 and 2,153,531 is: 4,712,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,184 : 2,153,531 = 2,153,531 : x
  2. Step 2: Convert to fraction form
    984,184/2,153,531 = 2,153,531/x
  3. Step 3: Cross multiply
    984,184x = 2,153,531 × 2,153,531
  4. Step 4: Simplify right side
    984,184x = 4,637,695,767,961
  5. Step 5: Solve for x
    x = 4,637,695,767,961/984,184
  6. Step 6: Final answer
    x = 4,712,224.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.