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Finding the Third Proportional to 3,120,896.25 and 4,897,000.13

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Solution

The third proportional to 3,120,896.25 and 4,897,000.13 is: 7,683,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120,896.25 : 4,897,000.13 = 4,897,000.13 : x
  2. Step 2: Convert to fraction form
    3,120,896.25/4,897,000.13 = 4,897,000.13/x
  3. Step 3: Cross multiply
    3,120,896.25x = 4,897,000.13 × 4,897,000.13
  4. Step 4: Simplify right side
    3,120,896.25x = 23,980,610,224,250.02
  5. Step 5: Solve for x
    x = 23,980,610,224,250.02/3,120,896.25
  6. Step 6: Final answer
    x = 7,683,885.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.