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Finding the Third Proportional to 599,868 and 1,304,712

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Solution

The third proportional to 599,868 and 1,304,712 is: 2,837,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,868 : 1,304,712 = 1,304,712 : x
  2. Step 2: Convert to fraction form
    599,868/1,304,712 = 1,304,712/x
  3. Step 3: Cross multiply
    599,868x = 1,304,712 × 1,304,712
  4. Step 4: Simplify right side
    599,868x = 1,702,273,402,944
  5. Step 5: Solve for x
    x = 1,702,273,402,944/599,868
  6. Step 6: Final answer
    x = 2,837,746.64

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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.