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Finding the Third Proportional to 984,182 and 2,153,527

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Solution

The third proportional to 984,182 and 2,153,527 is: 4,712,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,182 : 2,153,527 = 2,153,527 : x
  2. Step 2: Convert to fraction form
    984,182/2,153,527 = 2,153,527/x
  3. Step 3: Cross multiply
    984,182x = 2,153,527 × 2,153,527
  4. Step 4: Simplify right side
    984,182x = 4,637,678,539,729
  5. Step 5: Solve for x
    x = 4,637,678,539,729/984,182
  6. Step 6: Final answer
    x = 4,712,216.38

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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.