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Finding the Third Proportional to 603,664 and 1,266,080

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Solution

The third proportional to 603,664 and 1,266,080 is: 2,655,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,664 : 1,266,080 = 1,266,080 : x
  2. Step 2: Convert to fraction form
    603,664/1,266,080 = 1,266,080/x
  3. Step 3: Cross multiply
    603,664x = 1,266,080 × 1,266,080
  4. Step 4: Simplify right side
    603,664x = 1,602,958,566,400
  5. Step 5: Solve for x
    x = 1,602,958,566,400/603,664
  6. Step 6: Final answer
    x = 2,655,382.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.