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Finding the Third Proportional to 581,808 and 1,216,576

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Solution

The third proportional to 581,808 and 1,216,576 is: 2,543,892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,808 : 1,216,576 = 1,216,576 : x
  2. Step 2: Convert to fraction form
    581,808/1,216,576 = 1,216,576/x
  3. Step 3: Cross multiply
    581,808x = 1,216,576 × 1,216,576
  4. Step 4: Simplify right side
    581,808x = 1,480,057,163,776
  5. Step 5: Solve for x
    x = 1,480,057,163,776/581,808
  6. Step 6: Final answer
    x = 2,543,892.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.