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Finding the Third Proportional to 450,136 and 983,920

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Solution

The third proportional to 450,136 and 983,920 is: 2,150,680.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,136 : 983,920 = 983,920 : x
  2. Step 2: Convert to fraction form
    450,136/983,920 = 983,920/x
  3. Step 3: Cross multiply
    450,136x = 983,920 × 983,920
  4. Step 4: Simplify right side
    450,136x = 968,098,566,400
  5. Step 5: Solve for x
    x = 968,098,566,400/450,136
  6. Step 6: Final answer
    x = 2,150,680.16

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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.