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Finding the Third Proportional to 700,194 and 1,688,115

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Solution

The third proportional to 700,194 and 1,688,115 is: 4,069,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,194 : 1,688,115 = 1,688,115 : x
  2. Step 2: Convert to fraction form
    700,194/1,688,115 = 1,688,115/x
  3. Step 3: Cross multiply
    700,194x = 1,688,115 × 1,688,115
  4. Step 4: Simplify right side
    700,194x = 2,849,732,253,225
  5. Step 5: Solve for x
    x = 2,849,732,253,225/700,194
  6. Step 6: Final answer
    x = 4,069,918.13

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Why These Related Problems?

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