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Finding the Third Proportional to 500,988 and 1,019,470

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Solution

The third proportional to 500,988 and 1,019,470 is: 2,074,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,988 : 1,019,470 = 1,019,470 : x
  2. Step 2: Convert to fraction form
    500,988/1,019,470 = 1,019,470/x
  3. Step 3: Cross multiply
    500,988x = 1,019,470 × 1,019,470
  4. Step 4: Simplify right side
    500,988x = 1,039,319,080,900
  5. Step 5: Solve for x
    x = 1,039,319,080,900/500,988
  6. Step 6: Final answer
    x = 2,074,538.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.