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Finding the Third Proportional to 762,603 and 1,658,022

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Solution

The third proportional to 762,603 and 1,658,022 is: 3,604,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,603 : 1,658,022 = 1,658,022 : x
  2. Step 2: Convert to fraction form
    762,603/1,658,022 = 1,658,022/x
  3. Step 3: Cross multiply
    762,603x = 1,658,022 × 1,658,022
  4. Step 4: Simplify right side
    762,603x = 2,749,036,952,484
  5. Step 5: Solve for x
    x = 2,749,036,952,484/762,603
  6. Step 6: Final answer
    x = 3,604,807.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.