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Finding the Third Proportional to 1,831,570.88 and 2,692,478.25

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Solution

The third proportional to 1,831,570.88 and 2,692,478.25 is: 3,958,044.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,570.88 : 2,692,478.25 = 2,692,478.25 : x
  2. Step 2: Convert to fraction form
    1,831,570.88/2,692,478.25 = 2,692,478.25/x
  3. Step 3: Cross multiply
    1,831,570.88x = 2,692,478.25 × 2,692,478.25
  4. Step 4: Simplify right side
    1,831,570.88x = 7,249,439,126,723.06
  5. Step 5: Solve for x
    x = 7,249,439,126,723.06/1,831,570.88
  6. Step 6: Final answer
    x = 3,958,044.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.