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Finding the Third Proportional to 1,638,936 and 3,547,440

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Solution

The third proportional to 1,638,936 and 3,547,440 is: 7,678,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,936 : 3,547,440 = 3,547,440 : x
  2. Step 2: Convert to fraction form
    1,638,936/3,547,440 = 3,547,440/x
  3. Step 3: Cross multiply
    1,638,936x = 3,547,440 × 3,547,440
  4. Step 4: Simplify right side
    1,638,936x = 12,584,330,553,600
  5. Step 5: Solve for x
    x = 12,584,330,553,600/1,638,936
  6. Step 6: Final answer
    x = 7,678,353.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.