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Finding the Third Proportional to 1,634,928.47 and 3,818,715.47

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Solution

The third proportional to 1,634,928.47 and 3,818,715.47 is: 8,919,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634,928.47 : 3,818,715.47 = 3,818,715.47 : x
  2. Step 2: Convert to fraction form
    1,634,928.47/3,818,715.47 = 3,818,715.47/x
  3. Step 3: Cross multiply
    1,634,928.47x = 3,818,715.47 × 3,818,715.47
  4. Step 4: Simplify right side
    1,634,928.47x = 14,582,587,831,270.53
  5. Step 5: Solve for x
    x = 14,582,587,831,270.53/1,634,928.47
  6. Step 6: Final answer
    x = 8,919,404.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.