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Finding the Third Proportional to 500,598 and 1,036,681

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Solution

The third proportional to 500,598 and 1,036,681 is: 2,146,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,598 : 1,036,681 = 1,036,681 : x
  2. Step 2: Convert to fraction form
    500,598/1,036,681 = 1,036,681/x
  3. Step 3: Cross multiply
    500,598x = 1,036,681 × 1,036,681
  4. Step 4: Simplify right side
    500,598x = 1,074,707,495,761
  5. Step 5: Solve for x
    x = 1,074,707,495,761/500,598
  6. Step 6: Final answer
    x = 2,146,847.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.