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Finding the Third Proportional to 894,324 and 1,329,322.50

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Solution

The third proportional to 894,324 and 1,329,322.50 is: 1,975,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,324 : 1,329,322.50 = 1,329,322.50 : x
  2. Step 2: Convert to fraction form
    894,324/1,329,322.50 = 1,329,322.50/x
  3. Step 3: Cross multiply
    894,324x = 1,329,322.50 × 1,329,322.50
  4. Step 4: Simplify right side
    894,324x = 1,767,098,309,006.25
  5. Step 5: Solve for x
    x = 1,767,098,309,006.25/894,324
  6. Step 6: Final answer
    x = 1,975,903.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.