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Finding the Third Proportional to 2,619,312 and 3,938,712

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Solution

The third proportional to 2,619,312 and 3,938,712 is: 5,922,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619,312 : 3,938,712 = 3,938,712 : x
  2. Step 2: Convert to fraction form
    2,619,312/3,938,712 = 3,938,712/x
  3. Step 3: Cross multiply
    2,619,312x = 3,938,712 × 3,938,712
  4. Step 4: Simplify right side
    2,619,312x = 15,513,452,218,944
  5. Step 5: Solve for x
    x = 15,513,452,218,944/2,619,312
  6. Step 6: Final answer
    x = 5,922,720.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.