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Finding the Third Proportional to 880,596 and 1,360,582

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Solution

The third proportional to 880,596 and 1,360,582 is: 2,102,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,596 : 1,360,582 = 1,360,582 : x
  2. Step 2: Convert to fraction form
    880,596/1,360,582 = 1,360,582/x
  3. Step 3: Cross multiply
    880,596x = 1,360,582 × 1,360,582
  4. Step 4: Simplify right side
    880,596x = 1,851,183,378,724
  5. Step 5: Solve for x
    x = 1,851,183,378,724/880,596
  6. Step 6: Final answer
    x = 2,102,193.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.