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Finding the Third Proportional to 787,142 and 1,688,956

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Solution

The third proportional to 787,142 and 1,688,956 is: 3,623,961.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,142 : 1,688,956 = 1,688,956 : x
  2. Step 2: Convert to fraction form
    787,142/1,688,956 = 1,688,956/x
  3. Step 3: Cross multiply
    787,142x = 1,688,956 × 1,688,956
  4. Step 4: Simplify right side
    787,142x = 2,852,572,369,936
  5. Step 5: Solve for x
    x = 2,852,572,369,936/787,142
  6. Step 6: Final answer
    x = 3,623,961.58

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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.