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Finding the Third Proportional to 1,615,812 and 2,457,297

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Solution

The third proportional to 1,615,812 and 2,457,297 is: 3,737,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,812 : 2,457,297 = 2,457,297 : x
  2. Step 2: Convert to fraction form
    1,615,812/2,457,297 = 2,457,297/x
  3. Step 3: Cross multiply
    1,615,812x = 2,457,297 × 2,457,297
  4. Step 4: Simplify right side
    1,615,812x = 6,038,308,546,209
  5. Step 5: Solve for x
    x = 6,038,308,546,209/1,615,812
  6. Step 6: Final answer
    x = 3,737,011.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.