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Finding the Third Proportional to 700,192 and 1,688,110

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Solution

The third proportional to 700,192 and 1,688,110 is: 4,069,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,192 : 1,688,110 = 1,688,110 : x
  2. Step 2: Convert to fraction form
    700,192/1,688,110 = 1,688,110/x
  3. Step 3: Cross multiply
    700,192x = 1,688,110 × 1,688,110
  4. Step 4: Simplify right side
    700,192x = 2,849,715,372,100
  5. Step 5: Solve for x
    x = 2,849,715,372,100/700,192
  6. Step 6: Final answer
    x = 4,069,905.64

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.