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Finding the Third Proportional to 676,106 and 1,468,972

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Solution

The third proportional to 676,106 and 1,468,972 is: 3,191,627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,106 : 1,468,972 = 1,468,972 : x
  2. Step 2: Convert to fraction form
    676,106/1,468,972 = 1,468,972/x
  3. Step 3: Cross multiply
    676,106x = 1,468,972 × 1,468,972
  4. Step 4: Simplify right side
    676,106x = 2,157,878,736,784
  5. Step 5: Solve for x
    x = 2,157,878,736,784/676,106
  6. Step 6: Final answer
    x = 3,191,627.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.