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Finding the Third Proportional to 452,724 and 983,448

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Solution

The third proportional to 452,724 and 983,448 is: 2,136,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,724 : 983,448 = 983,448 : x
  2. Step 2: Convert to fraction form
    452,724/983,448 = 983,448/x
  3. Step 3: Cross multiply
    452,724x = 983,448 × 983,448
  4. Step 4: Simplify right side
    452,724x = 967,169,968,704
  5. Step 5: Solve for x
    x = 967,169,968,704/452,724
  6. Step 6: Final answer
    x = 2,136,334.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.