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Finding the Third Proportional to 788,314 and 1,217,404

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Solution

The third proportional to 788,314 and 1,217,404 is: 1,880,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,314 : 1,217,404 = 1,217,404 : x
  2. Step 2: Convert to fraction form
    788,314/1,217,404 = 1,217,404/x
  3. Step 3: Cross multiply
    788,314x = 1,217,404 × 1,217,404
  4. Step 4: Simplify right side
    788,314x = 1,482,072,499,216
  5. Step 5: Solve for x
    x = 1,482,072,499,216/788,314
  6. Step 6: Final answer
    x = 1,880,053.51

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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.