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Finding the Third Proportional to 1,688,234 and 2,418,335

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Solution

The third proportional to 1,688,234 and 2,418,335 is: 3,464,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,234 : 2,418,335 = 2,418,335 : x
  2. Step 2: Convert to fraction form
    1,688,234/2,418,335 = 2,418,335/x
  3. Step 3: Cross multiply
    1,688,234x = 2,418,335 × 2,418,335
  4. Step 4: Simplify right side
    1,688,234x = 5,848,344,172,225
  5. Step 5: Solve for x
    x = 5,848,344,172,225/1,688,234
  6. Step 6: Final answer
    x = 3,464,178.65

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.