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Finding the Third Proportional to 736,545 and 1,585,656

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Solution

The third proportional to 736,545 and 1,585,656 is: 3,413,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,545 : 1,585,656 = 1,585,656 : x
  2. Step 2: Convert to fraction form
    736,545/1,585,656 = 1,585,656/x
  3. Step 3: Cross multiply
    736,545x = 1,585,656 × 1,585,656
  4. Step 4: Simplify right side
    736,545x = 2,514,304,950,336
  5. Step 5: Solve for x
    x = 2,514,304,950,336/736,545
  6. Step 6: Final answer
    x = 3,413,647.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.