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Finding the Third Proportional to 852,457.50 and 1,316,682

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Solution

The third proportional to 852,457.50 and 1,316,682 is: 2,033,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,457.50 : 1,316,682 = 1,316,682 : x
  2. Step 2: Convert to fraction form
    852,457.50/1,316,682 = 1,316,682/x
  3. Step 3: Cross multiply
    852,457.50x = 1,316,682 × 1,316,682
  4. Step 4: Simplify right side
    852,457.50x = 1,733,651,489,124
  5. Step 5: Solve for x
    x = 1,733,651,489,124/852,457.50
  6. Step 6: Final answer
    x = 2,033,710.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.