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Finding the Third Proportional to 778,468 and 1,173,270

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Solution

The third proportional to 778,468 and 1,173,270 is: 1,768,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,468 : 1,173,270 = 1,173,270 : x
  2. Step 2: Convert to fraction form
    778,468/1,173,270 = 1,173,270/x
  3. Step 3: Cross multiply
    778,468x = 1,173,270 × 1,173,270
  4. Step 4: Simplify right side
    778,468x = 1,376,562,492,900
  5. Step 5: Solve for x
    x = 1,376,562,492,900/778,468
  6. Step 6: Final answer
    x = 1,768,296.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.