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Finding the Third Proportional to 595,788 and 1,276,864

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Solution

The third proportional to 595,788 and 1,276,864 is: 2,736,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,788 : 1,276,864 = 1,276,864 : x
  2. Step 2: Convert to fraction form
    595,788/1,276,864 = 1,276,864/x
  3. Step 3: Cross multiply
    595,788x = 1,276,864 × 1,276,864
  4. Step 4: Simplify right side
    595,788x = 1,630,381,674,496
  5. Step 5: Solve for x
    x = 1,630,381,674,496/595,788
  6. Step 6: Final answer
    x = 2,736,513.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.