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Finding the Third Proportional to 971,958 and 1,368,133.50

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Solution

The third proportional to 971,958 and 1,368,133.50 is: 1,925,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,958 : 1,368,133.50 = 1,368,133.50 : x
  2. Step 2: Convert to fraction form
    971,958/1,368,133.50 = 1,368,133.50/x
  3. Step 3: Cross multiply
    971,958x = 1,368,133.50 × 1,368,133.50
  4. Step 4: Simplify right side
    971,958x = 1,871,789,273,822.25
  5. Step 5: Solve for x
    x = 1,871,789,273,822.25/971,958
  6. Step 6: Final answer
    x = 1,925,792.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.