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Finding the Third Proportional to 798,509 and 1,269,894

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Solution

The third proportional to 798,509 and 1,269,894 is: 2,019,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,509 : 1,269,894 = 1,269,894 : x
  2. Step 2: Convert to fraction form
    798,509/1,269,894 = 1,269,894/x
  3. Step 3: Cross multiply
    798,509x = 1,269,894 × 1,269,894
  4. Step 4: Simplify right side
    798,509x = 1,612,630,771,236
  5. Step 5: Solve for x
    x = 1,612,630,771,236/798,509
  6. Step 6: Final answer
    x = 2,019,552.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.