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Finding the Third Proportional to 1,655,680 and 2,531,640

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Solution

The third proportional to 1,655,680 and 2,531,640 is: 3,871,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655,680 : 2,531,640 = 2,531,640 : x
  2. Step 2: Convert to fraction form
    1,655,680/2,531,640 = 2,531,640/x
  3. Step 3: Cross multiply
    1,655,680x = 2,531,640 × 2,531,640
  4. Step 4: Simplify right side
    1,655,680x = 6,409,201,089,600
  5. Step 5: Solve for x
    x = 6,409,201,089,600/1,655,680
  6. Step 6: Final answer
    x = 3,871,038.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.