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Finding the Third Proportional to 708,297 and 1,068,374

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Solution

The third proportional to 708,297 and 1,068,374 is: 1,611,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,297 : 1,068,374 = 1,068,374 : x
  2. Step 2: Convert to fraction form
    708,297/1,068,374 = 1,068,374/x
  3. Step 3: Cross multiply
    708,297x = 1,068,374 × 1,068,374
  4. Step 4: Simplify right side
    708,297x = 1,141,423,003,876
  5. Step 5: Solve for x
    x = 1,141,423,003,876/708,297
  6. Step 6: Final answer
    x = 1,611,503.37

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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.