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Finding the Third Proportional to 779,294 and 1,678,972

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Solution

The third proportional to 779,294 and 1,678,972 is: 3,617,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,294 : 1,678,972 = 1,678,972 : x
  2. Step 2: Convert to fraction form
    779,294/1,678,972 = 1,678,972/x
  3. Step 3: Cross multiply
    779,294x = 1,678,972 × 1,678,972
  4. Step 4: Simplify right side
    779,294x = 2,818,946,976,784
  5. Step 5: Solve for x
    x = 2,818,946,976,784/779,294
  6. Step 6: Final answer
    x = 3,617,308.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.