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Finding the Third Proportional to 1,648,512 and 2,615,328

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Solution

The third proportional to 1,648,512 and 2,615,328 is: 4,149,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,512 : 2,615,328 = 2,615,328 : x
  2. Step 2: Convert to fraction form
    1,648,512/2,615,328 = 2,615,328/x
  3. Step 3: Cross multiply
    1,648,512x = 2,615,328 × 2,615,328
  4. Step 4: Simplify right side
    1,648,512x = 6,839,940,547,584
  5. Step 5: Solve for x
    x = 6,839,940,547,584/1,648,512
  6. Step 6: Final answer
    x = 4,149,160.30

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.