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Finding the Third Proportional to 1,175,312 and 2,572,096

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Solution

The third proportional to 1,175,312 and 2,572,096 is: 5,628,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175,312 : 2,572,096 = 2,572,096 : x
  2. Step 2: Convert to fraction form
    1,175,312/2,572,096 = 2,572,096/x
  3. Step 3: Cross multiply
    1,175,312x = 2,572,096 × 2,572,096
  4. Step 4: Simplify right side
    1,175,312x = 6,615,677,833,216
  5. Step 5: Solve for x
    x = 6,615,677,833,216/1,175,312
  6. Step 6: Final answer
    x = 5,628,869.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.