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Finding the Third Proportional to 713,300 and 1,451,511

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Solution

The third proportional to 713,300 and 1,451,511 is: 2,953,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,300 : 1,451,511 = 1,451,511 : x
  2. Step 2: Convert to fraction form
    713,300/1,451,511 = 1,451,511/x
  3. Step 3: Cross multiply
    713,300x = 1,451,511 × 1,451,511
  4. Step 4: Simplify right side
    713,300x = 2,106,884,183,121
  5. Step 5: Solve for x
    x = 2,106,884,183,121/713,300
  6. Step 6: Final answer
    x = 2,953,713.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.